λ
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Atlas › Integer Profiles › Node 15,440,360

15,440,360

23 × 5 × 13 × 23 × 1291
Abundant Even Composite

15,440,360 factors as 2^3 × 5 × 13 × 23 × 1291. Its 64 positive divisors give a proper-divisor sum of 23,629,720, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 23 × 1291
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 39,070,080
Proper Divisor Sum 23,629,720
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #15440357 ← → #15440371

Radix Representation

Decimal 15440360
Binary 111010111001100111101000 (24 bits)
Octal 0o72714750
Hexadecimal 0xEB99E8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1,196 1,291 1,495 2,392 2,582 2,990 5,164 5,980 6,455 10,328 11,960 12,910 16,783 25,820 29,693 33,566 51,640 59,386 67,132 83,915 118,772 134,264 148,465 167,830 237,544 296,930 335,660 386,009 593,860 671,320 772,018 1,187,720 1,544,036 1,930,045

Collatz Trajectory (112 steps to reach 1)

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

15,440,360 7,720,180 3,860,090 1,930,045 5,790,136 2,895,068 1,447,534 723,767 2,171,302 1,085,651 3,256,954 1,628,477 4,885,432 2,442,716 1,221,358 610,679 1,832,038 916,019 2,748,058 1,374,029 4,122,088 2,061,044 1,030,522 515,261 1,545,784 772,892 386,446 193,223 579,670 289,835 869,506 434,753 1,304,260 652,130 326,065 978,196 489,098 244,549 733,648 366,824 183,412 91,706 45,853 137,560 68,780 34,390 17,195 51,586 25,793 77,380 38,690 19,345 58,036 29,018 14,509 43,528 21,764 10,882 5,441 16,324

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