71,336,590

2 × 5 × 13³ × 17 × 191

71,336,590 factors as 2 × 5 × 13^3 × 17 × 191. Its 64 positive divisors give a proper-divisor sum of 76,718,450, so this integer is abundant. The Collatz stopping time is 290 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13^3 × 17 × 191

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 148,055,040

Proper Divisor Sum 76,718,450

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #71336567 ← → #71336599

Radix Representation

Decimal	71336590
Binary	100010000001000001010001110 (27 bits)
Octal	0o420101216
Hexadecimal	0x440828E

Divisor Catalog (60 of 64)

1 2 5 10 13 17 26 34 65 85 130 169 170 191 221 338 382 442 845 955 1,105 1,690 1,910 2,197 2,210 2,483 2,873 3,247 4,394 4,966 5,746 6,494 10,985 12,415 14,365 16,235 21,970 24,830 28,730 32,279 32,470 37,349 42,211 64,558 74,698 84,422 161,395 186,745 211,055 322,790 373,490 419,627 422,110 548,743 839,254 1,097,486 2,098,135 2,743,715 4,196,270 5,487,430

Collatz Trajectory (290 steps to reach 1)

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

71,336,590 35,668,295 107,004,886 53,502,443 160,507,330 80,253,665 240,760,996 120,380,498 60,190,249 180,570,748 90,285,374 45,142,687 135,428,062 67,714,031 203,142,094 101,571,047 304,713,142 152,356,571 457,069,714 228,534,857 685,604,572 342,802,286 171,401,143 514,203,430 257,101,715 771,305,146 385,652,573 1,156,957,720 578,478,860 289,239,430 144,619,715 433,859,146 216,929,573 650,788,720 325,394,360 162,697,180 81,348,590 40,674,295 122,022,886 61,011,443 183,034,330 91,517,165 274,551,496 137,275,748 68,637,874 34,318,937 102,956,812 51,478,406 25,739,203 77,217,610 38,608,805 115,826,416 57,913,208 28,956,604 14,478,302 7,239,151 21,717,454 10,858,727 32,576,182 16,288,091

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