10,013,596

2² × 757 × 3307

10,013,596 factors as 2^2 × 757 × 3307. Its 12 positive divisors give a proper-divisor sum of 7,538,652, so this integer is deficient. The Collatz stopping time is 344 steps.

Prime Factor Structure

Factorization String 2^2 × 757 × 3307

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,552,248

Proper Divisor Sum 7,538,652

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #10013593 ← → #10013599

Radix Representation

Decimal	10013596
Binary	100110001100101110011100 (24 bits)
Octal	0o46145634
Hexadecimal	0x98CB9C

Divisor Catalog (12)

1 2 4 757 1,514 3,028 3,307 6,614 13,228 2,503,399 5,006,798 10,013,596

Collatz Trajectory (344 steps to reach 1)

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

10,013,596 5,006,798 2,503,399 7,510,198 3,755,099 11,265,298 5,632,649 16,897,948 8,448,974 4,224,487 12,673,462 6,336,731 19,010,194 9,505,097 28,515,292 14,257,646 7,128,823 21,386,470 10,693,235 32,079,706 16,039,853 48,119,560 24,059,780 12,029,890 6,014,945 18,044,836 9,022,418 4,511,209 13,533,628 6,766,814 3,383,407 10,150,222 5,075,111 15,225,334 7,612,667 22,838,002 11,419,001 34,257,004 17,128,502 8,564,251 25,692,754 12,846,377 38,539,132 19,269,566 9,634,783 28,904,350 14,452,175 43,356,526 21,678,263 65,034,790 32,517,395 97,552,186 48,776,093 146,328,280 73,164,140 36,582,070 18,291,035 54,873,106 27,436,553 82,309,660

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