518,965

5 × 271 × 383

Starting at 518,965, the Collatz iteration reaches 1 after 71 steps. The first transition is 1556896; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 271 × 383

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 626,688

Proper Divisor Sum 107,723

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #518953 ← → #518981

Radix Representation

Decimal	518965
Binary	1111110101100110101 (19 bits)
Octal	0o1765465
Hexadecimal	0x7EB35

Divisor Catalog (8)

1 5 271 383 1,355 1,915 103,793 518,965

Collatz Trajectory (71 steps to reach 1)

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

518,965 1,556,896 778,448 389,224 194,612 97,306 48,653 145,960 72,980 36,490 18,245 54,736 27,368 13,684 6,842 3,421 10,264 5,132 2,566 1,283 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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