514,596

2² × 3 × 19 × 37 × 61

514,596 factors as 2^2 × 3 × 19 × 37 × 61. Its 48 positive divisors give a proper-divisor sum of 804,764, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 37 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,319,360

Proper Divisor Sum 804,764

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #514571 ← → #514621

Radix Representation

Decimal	514596
Binary	1111101101000100100 (19 bits)
Octal	0o1755044
Hexadecimal	0x7DA24

Divisor Catalog (48)

1 2 3 4 6 12 19 37 38 57 61 74 76 111 114 122 148 183 222 228 244 366 444 703 732 1,159 1,406 2,109 2,257 2,318 2,812 3,477 4,218 4,514 4,636 6,771 6,954 8,436 9,028 13,542 13,908 27,084 42,883 85,766 128,649 171,532 257,298 514,596

Collatz Trajectory (76 steps to reach 1)

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

514,596 257,298 128,649 385,948 192,974 96,487 289,462 144,731 434,194 217,097 651,292 325,646 162,823 488,470 244,235 732,706 366,353 1,099,060 549,530 274,765 824,296 412,148 206,074 103,037 309,112 154,556 77,278 38,639 115,918 57,959 173,878 86,939 260,818 130,409 391,228 195,614 97,807 293,422 146,711 440,134 220,067 660,202 330,101 990,304 495,152 247,576 123,788 61,894 30,947 92,842 46,421 139,264 69,632 34,816 17,408 8,704 4,352 2,176 1,088 544

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