613,002

2 × 3 × 13 × 29 × 271

613,002 has the prime decomposition 2 × 3 × 13 × 29 × 271. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 29 × 271

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,370,880

Proper Divisor Sum 757,878

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #612977 ← → #613007

Radix Representation

Decimal	613002
Binary	10010101101010001010 (20 bits)
Octal	0o2255212
Hexadecimal	0x95A8A

Divisor Catalog (32)

1 2 3 6 13 26 29 39 58 78 87 174 271 377 542 754 813 1,131 1,626 2,262 3,523 7,046 7,859 10,569 15,718 21,138 23,577 47,154 102,167 204,334 306,501 613,002

Collatz Trajectory (97 steps to reach 1)

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

613,002 306,501 919,504 459,752 229,876 114,938 57,469 172,408 86,204 43,102 21,551 64,654 32,327 96,982 48,491 145,474 72,737 218,212 109,106 54,553 163,660 81,830 40,915 122,746 61,373 184,120 92,060 46,030 23,015 69,046 34,523 103,570 51,785 155,356 77,678 38,839 116,518 58,259 174,778 87,389 262,168 131,084 65,542 32,771 98,314 49,157 147,472 73,736 36,868 18,434 9,217 27,652 13,826 6,913 20,740 10,370 5,185 15,556 7,778 3,889

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