10,837,996

2² × 13 × 29 × 7187

10,837,996 factors as 2^2 × 13 × 29 × 7187. Its 24 positive divisors give a proper-divisor sum of 10,294,724, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 29 × 7187

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,132,720

Proper Divisor Sum 10,294,724

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #10837973 ← → #10838017

Radix Representation

Decimal	10837996
Binary	101001010101111111101100 (24 bits)
Octal	0o51257754
Hexadecimal	0xA55FEC

Divisor Catalog (24)

Collatz Trajectory (140 steps to reach 1)

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

10,837,996 5,418,998 2,709,499 8,128,498 4,064,249 12,192,748 6,096,374 3,048,187 9,144,562 4,572,281 13,716,844 6,858,422 3,429,211 10,287,634 5,143,817 15,431,452 7,715,726 3,857,863 11,573,590 5,786,795 17,360,386 8,680,193 26,040,580 13,020,290 6,510,145 19,530,436 9,765,218 4,882,609 14,647,828 7,323,914 3,661,957 10,985,872 5,492,936 2,746,468 1,373,234 686,617 2,059,852 1,029,926 514,963 1,544,890 772,445 2,317,336 1,158,668 579,334 289,667 869,002 434,501 1,303,504 651,752 325,876 162,938 81,469 244,408 122,204 61,102 30,551 91,654 45,827 137,482 68,741

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