13,652,860

2² × 5 × 13 × 52511

13,652,860 factors as 2^2 × 5 × 13 × 52511. Its 24 positive divisors give a proper-divisor sum of 17,224,196, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 52511

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 30,877,056

Proper Divisor Sum 17,224,196

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #13652851 ← → #13652861

Radix Representation

Decimal	13652860
Binary	110100000101001101111100 (24 bits)
Octal	0o64051574
Hexadecimal	0xD0537C

Divisor Catalog (24)

Collatz Trajectory (130 steps to reach 1)

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

13,652,860 6,826,430 3,413,215 10,239,646 5,119,823 15,359,470 7,679,735 23,039,206 11,519,603 34,558,810 17,279,405 51,838,216 25,919,108 12,959,554 6,479,777 19,439,332 9,719,666 4,859,833 14,579,500 7,289,750 3,644,875 10,934,626 5,467,313 16,401,940 8,200,970 4,100,485 12,301,456 6,150,728 3,075,364 1,537,682 768,841 2,306,524 1,153,262 576,631 1,729,894 864,947 2,594,842 1,297,421 3,892,264 1,946,132 973,066 486,533 1,459,600 729,800 364,900 182,450 91,225 273,676 136,838 68,419 205,258 102,629 307,888 153,944 76,972 38,486 19,243 57,730 28,865 86,596

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