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Atlas › Integer Profiles › Node 13,075,730

13,075,730

2 × 5 × 23 × 139 × 409
Deficient Even Composite

13,075,730 factors as 2 × 5 × 23 × 139 × 409. Its 32 positive divisors give a proper-divisor sum of 11,721,070, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 139 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,796,800
Proper Divisor Sum 11,721,070
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #13075709 ← → #13075739

Radix Representation

Decimal 13075730
Binary 110001111000010100010010 (24 bits)
Octal 0o61702422
Hexadecimal 0xC78512

Divisor Catalog (32)

1 2 5 10 23 46 115 139 230 278 409 695 818 1,390 2,045 3,197 4,090 6,394 9,407 15,985 18,814 31,970 47,035 56,851 94,070 113,702 284,255 568,510 1,307,573 2,615,146 6,537,865 13,075,730

Collatz Trajectory (210 steps to reach 1)

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

13,075,730 6,537,865 19,613,596 9,806,798 4,903,399 14,710,198 7,355,099 22,065,298 11,032,649 33,097,948 16,548,974 8,274,487 24,823,462 12,411,731 37,235,194 18,617,597 55,852,792 27,926,396 13,963,198 6,981,599 20,944,798 10,472,399 31,417,198 15,708,599 47,125,798 23,562,899 70,688,698 35,344,349 106,033,048 53,016,524 26,508,262 13,254,131 39,762,394 19,881,197 59,643,592 29,821,796 14,910,898 7,455,449 22,366,348 11,183,174 5,591,587 16,774,762 8,387,381 25,162,144 12,581,072 6,290,536 3,145,268 1,572,634 786,317 2,358,952 1,179,476 589,738 294,869 884,608 442,304 221,152 110,576 55,288 27,644 13,822

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