515,004

2² × 3 × 7 × 6131

515,004 factors as 2^2 × 3 × 7 × 6131. Its 24 positive divisors give a proper-divisor sum of 858,564, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 6131

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,373,568

Proper Divisor Sum 858,564

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #514967 ← → #515041

Radix Representation

Decimal	515004
Binary	1111101101110111100 (19 bits)
Octal	0o1755674
Hexadecimal	0x7DBBC

Divisor Catalog (24)

Collatz Trajectory (195 steps to reach 1)

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

515,004 257,502 128,751 386,254 193,127 579,382 289,691 869,074 434,537 1,303,612 651,806 325,903 977,710 488,855 1,466,566 733,283 2,199,850 1,099,925 3,299,776 1,649,888 824,944 412,472 206,236 103,118 51,559 154,678 77,339 232,018 116,009 348,028 174,014 87,007 261,022 130,511 391,534 195,767 587,302 293,651 880,954 440,477 1,321,432 660,716 330,358 165,179 495,538 247,769 743,308 371,654 185,827 557,482 278,741 836,224 418,112 209,056 104,528 52,264 26,132 13,066 6,533 19,600

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