13,872,001

11 × 13 × 97007

13,872,001 factors as 11 × 13 × 97007. Its 8 positive divisors give a proper-divisor sum of 2,425,343, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 11 × 13 × 97007

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 16,297,344

Proper Divisor Sum 2,425,343

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #13871999 ← → #13872007

Radix Representation

Decimal	13872001
Binary	110100111010101110000001 (24 bits)
Octal	0o64725601
Hexadecimal	0xD3AB81

Divisor Catalog (8)

1 11 13 143 97,007 1,067,077 1,261,091 13,872,001

Collatz Trajectory (210 steps to reach 1)

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

13,872,001 41,616,004 20,808,002 10,404,001 31,212,004 15,606,002 7,803,001 23,409,004 11,704,502 5,852,251 17,556,754 8,778,377 26,335,132 13,167,566 6,583,783 19,751,350 9,875,675 29,627,026 14,813,513 44,440,540 22,220,270 11,110,135 33,330,406 16,665,203 49,995,610 24,997,805 74,993,416 37,496,708 18,748,354 9,374,177 28,122,532 14,061,266 7,030,633 21,091,900 10,545,950 5,272,975 15,818,926 7,909,463 23,728,390 11,864,195 35,592,586 17,796,293 53,388,880 26,694,440 13,347,220 6,673,610 3,336,805 10,010,416 5,005,208 2,502,604 1,251,302 625,651 1,876,954 938,477 2,815,432 1,407,716 703,858 351,929 1,055,788 527,894

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