8,455,076

2² × 7 × 19 × 23 × 691

8,455,076 factors as 2^2 × 7 × 19 × 23 × 691. Its 48 positive divisors give a proper-divisor sum of 10,145,884, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 19 × 23 × 691

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,600,960

Proper Divisor Sum 10,145,884

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8455063 ← → #8455091

Radix Representation

Decimal	8455076
Binary	100000010000001110100100 (24 bits)
Octal	0o40201644
Hexadecimal	0x8103A4

Divisor Catalog (48)

1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 437 532 644 691 874 1,382 1,748 2,764 3,059 4,837 6,118 9,674 12,236 13,129 15,893 19,348 26,258 31,786 52,516 63,572 91,903 111,251 183,806 222,502 301,967 367,612 445,004 603,934 1,207,868 2,113,769 4,227,538 8,455,076

Collatz Trajectory (155 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,455,076 4,227,538 2,113,769 6,341,308 3,170,654 1,585,327 4,755,982 2,377,991 7,133,974 3,566,987 10,700,962 5,350,481 16,051,444 8,025,722 4,012,861 12,038,584 6,019,292 3,009,646 1,504,823 4,514,470 2,257,235 6,771,706 3,385,853 10,157,560 5,078,780 2,539,390 1,269,695 3,809,086 1,904,543 5,713,630 2,856,815 8,570,446 4,285,223 12,855,670 6,427,835 19,283,506 9,641,753 28,925,260 14,462,630 7,231,315 21,693,946 10,846,973 32,540,920 16,270,460 8,135,230 4,067,615 12,202,846 6,101,423 18,304,270 9,152,135 27,456,406 13,728,203 41,184,610 20,592,305 61,776,916 30,888,458 15,444,229 46,332,688 23,166,344 11,583,172

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