617,970

2 × 3 × 5 × 20599

Starting at 617,970, the Collatz iteration reaches 1 after 110 steps. The first transition is 308985; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 20599

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,483,200

Proper Divisor Sum 865,230

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #617963 ← → #617971

Radix Representation

Decimal	617970
Binary	10010110110111110010 (20 bits)
Octal	0o2266762
Hexadecimal	0x96DF2

Divisor Catalog (16)

1 2 3 5 6 10 15 30 20,599 41,198 61,797 102,995 123,594 205,990 308,985 617,970

Collatz Trajectory (110 steps to reach 1)

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

617,970 308,985 926,956 463,478 231,739 695,218 347,609 1,042,828 521,414 260,707 782,122 391,061 1,173,184 586,592 293,296 146,648 73,324 36,662 18,331 54,994 27,497 82,492 41,246 20,623 61,870 30,935 92,806 46,403 139,210 69,605 208,816 104,408 52,204 26,102 13,051 39,154 19,577 58,732 29,366 14,683 44,050 22,025 66,076 33,038 16,519 49,558 24,779 74,338 37,169 111,508 55,754 27,877 83,632 41,816 20,908 10,454 5,227 15,682 7,841 23,524

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