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Atlas › Integer Profiles › Node 15,439,216

15,439,216

24 × 13 × 199 × 373
Abundant Even Composite

15,439,216 factors as 2^4 × 13 × 199 × 373. Its 40 positive divisors give a proper-divisor sum of 17,023,984, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 199 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 32,463,200
Proper Divisor Sum 17,023,984
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #15439211 ← → #15439217

Radix Representation

Decimal 15439216
Binary 111010111001010101110000 (24 bits)
Octal 0o72712560
Hexadecimal 0xEB9570

Divisor Catalog (40)

1 2 4 8 13 16 26 52 104 199 208 373 398 746 796 1,492 1,592 2,587 2,984 3,184 4,849 5,174 5,968 9,698 10,348 19,396 20,696 38,792 41,392 74,227 77,584 148,454 296,908 593,816 964,951 1,187,632 1,929,902 3,859,804 7,719,608 15,439,216

Collatz Trajectory (125 steps to reach 1)

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

15,439,216 7,719,608 3,859,804 1,929,902 964,951 2,894,854 1,447,427 4,342,282 2,171,141 6,513,424 3,256,712 1,628,356 814,178 407,089 1,221,268 610,634 305,317 915,952 457,976 228,988 114,494 57,247 171,742 85,871 257,614 128,807 386,422 193,211 579,634 289,817 869,452 434,726 217,363 652,090 326,045 978,136 489,068 244,534 122,267 366,802 183,401 550,204 275,102 137,551 412,654 206,327 618,982 309,491 928,474 464,237 1,392,712 696,356 348,178 174,089 522,268 261,134 130,567 391,702 195,851 587,554

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