9,709,074

2 × 3² × 17 × 31729

9,709,074 factors as 2 × 3^2 × 17 × 31729. Its 24 positive divisors give a proper-divisor sum of 12,565,386, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 31729

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 22,274,460

Proper Divisor Sum 12,565,386

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9709069 ← → #9709079

Radix Representation

Decimal	9709074
Binary	100101000010011000010010 (24 bits)
Octal	0o45023022
Hexadecimal	0x942612

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 31,729 63,458 95,187 190,374 285,561 539,393 571,122 1,078,786 1,618,179 3,236,358 4,854,537 9,709,074

Collatz Trajectory (114 steps to reach 1)

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

9,709,074 4,854,537 14,563,612 7,281,806 3,640,903 10,922,710 5,461,355 16,384,066 8,192,033 24,576,100 12,288,050 6,144,025 18,432,076 9,216,038 4,608,019 13,824,058 6,912,029 20,736,088 10,368,044 5,184,022 2,592,011 7,776,034 3,888,017 11,664,052 5,832,026 2,916,013 8,748,040 4,374,020 2,187,010 1,093,505 3,280,516 1,640,258 820,129 2,460,388 1,230,194 615,097 1,845,292 922,646 461,323 1,383,970 691,985 2,075,956 1,037,978 518,989 1,556,968 778,484 389,242 194,621 583,864 291,932 145,966 72,983 218,950 109,475 328,426 164,213 492,640 246,320 123,160 61,580

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