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Atlas › Integer Profiles › Node 15,190,890

15,190,890

2 × 3 × 5 × 11 × 13 × 3541
Abundant Even Composite

15,190,890 factors as 2 × 3 × 5 × 11 × 13 × 3541. Its 64 positive divisors give a proper-divisor sum of 27,653,142, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 13 × 3541
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 42,844,032
Proper Divisor Sum 27,653,142
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #15190873 ← → #15190919

Radix Representation

Decimal 15190890
Binary 111001111100101101101010 (24 bits)
Octal 0o71745552
Hexadecimal 0xE7CB6A

Divisor Catalog (60 of 64)

1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1,430 2,145 3,541 4,290 7,082 10,623 17,705 21,246 35,410 38,951 46,033 53,115 77,902 92,066 106,230 116,853 138,099 194,755 230,165 233,706 276,198 389,510 460,330 506,363 584,265 690,495 1,012,726 1,168,530 1,380,990 1,519,089 2,531,815

Collatz Trajectory (130 steps to reach 1)

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

15,190,890 7,595,445 22,786,336 11,393,168 5,696,584 2,848,292 1,424,146 712,073 2,136,220 1,068,110 534,055 1,602,166 801,083 2,403,250 1,201,625 3,604,876 1,802,438 901,219 2,703,658 1,351,829 4,055,488 2,027,744 1,013,872 506,936 253,468 126,734 63,367 190,102 95,051 285,154 142,577 427,732 213,866 106,933 320,800 160,400 80,200 40,100 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677

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