8,402,607

3² × 17 × 54919

8,402,607 factors as 3^2 × 17 × 54919. Its 12 positive divisors give a proper-divisor sum of 4,448,673, so this integer is deficient. The Collatz stopping time is 336 steps.

Prime Factor Structure

Factorization String 3^2 × 17 × 54919

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,851,280

Proper Divisor Sum 4,448,673

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8402593 ← → #8402609

Radix Representation

Decimal	8402607
Binary	100000000011011010101111 (24 bits)
Octal	0o40033257
Hexadecimal	0x8036AF

Divisor Catalog (12)

1 3 9 17 51 153 54,919 164,757 494,271 933,623 2,800,869 8,402,607

Collatz Trajectory (336 steps to reach 1)

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

8,402,607 25,207,822 12,603,911 37,811,734 18,905,867 56,717,602 28,358,801 85,076,404 42,538,202 21,269,101 63,807,304 31,903,652 15,951,826 7,975,913 23,927,740 11,963,870 5,981,935 17,945,806 8,972,903 26,918,710 13,459,355 40,378,066 20,189,033 60,567,100 30,283,550 15,141,775 45,425,326 22,712,663 68,137,990 34,068,995 102,206,986 51,103,493 153,310,480 76,655,240 38,327,620 19,163,810 9,581,905 28,745,716 14,372,858 7,186,429 21,559,288 10,779,644 5,389,822 2,694,911 8,084,734 4,042,367 12,127,102 6,063,551 18,190,654 9,095,327 27,285,982 13,642,991 40,928,974 20,464,487 61,393,462 30,696,731 92,090,194 46,045,097 138,135,292 69,067,646

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