652,763

23 × 101 × 281

Starting at 652,763, the Collatz iteration reaches 1 after 79 steps. The first transition is 1958290; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 101 × 281

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 690,336

Proper Divisor Sum 37,573

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #652759 ← → #652787

Radix Representation

Decimal	652763
Binary	10011111010111011011 (20 bits)
Octal	0o2372733
Hexadecimal	0x9F5DB

Divisor Catalog (8)

1 23 101 281 2,323 6,463 28,381 652,763

Collatz Trajectory (79 steps to reach 1)

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

652,763 1,958,290 979,145 2,937,436 1,468,718 734,359 2,203,078 1,101,539 3,304,618 1,652,309 4,956,928 2,478,464 1,239,232 619,616 309,808 154,904 77,452 38,726 19,363 58,090 29,045 87,136 43,568 21,784 10,892 5,446 2,723 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116

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