615,264

2⁵ × 3 × 13 × 17 × 29

615,264 factors as 2^5 × 3 × 13 × 17 × 29. Its 96 positive divisors give a proper-divisor sum of 1,289,856, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 17 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,905,120

Proper Divisor Sum 1,289,856

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #615259 ← → #615269

Radix Representation

Decimal	615264
Binary	10010110001101100000 (20 bits)
Octal	0o2261540
Hexadecimal	0x96360

Divisor Catalog (60 of 96)

1 2 3 4 6 8 12 13 16 17 24 26 29 32 34 39 48 51 52 58 68 78 87 96 102 104 116 136 156 174 204 208 221 232 272 312 348 377 408 416 442 464 493 544 624 663 696 754 816 884 928 986 1,131 1,248 1,326 1,392 1,479 1,508 1,632 1,768

Collatz Trajectory (164 steps to reach 1)

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

615,264 307,632 153,816 76,908 38,454 19,227 57,682 28,841 86,524 43,262 21,631 64,894 32,447 97,342 48,671 146,014 73,007 219,022 109,511 328,534 164,267 492,802 246,401 739,204 369,602 184,801 554,404 277,202 138,601 415,804 207,902 103,951 311,854 155,927 467,782 233,891 701,674 350,837 1,052,512 526,256 263,128 131,564 65,782 32,891 98,674 49,337 148,012 74,006 37,003 111,010 55,505 166,516 83,258 41,629 124,888 62,444 31,222 15,611 46,834 23,417

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