792,637

792637

Starting at 792,637, the Collatz iteration reaches 1 after 149 steps. The first transition is 2377912; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 792637

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 792,638

Proper Divisor Sum 1

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #792629 ← → #792641

Radix Representation

Decimal	792637
Binary	11000001100000111101 (20 bits)
Octal	0o3014075
Hexadecimal	0xC183D

Divisor Catalog (2)

1 792,637

Collatz Trajectory (149 steps to reach 1)

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

792,637 2,377,912 1,188,956 594,478 297,239 891,718 445,859 1,337,578 668,789 2,006,368 1,003,184 501,592 250,796 125,398 62,699 188,098 94,049 282,148 141,074 70,537 211,612 105,806 52,903 158,710 79,355 238,066 119,033 357,100 178,550 89,275 267,826 133,913 401,740 200,870 100,435 301,306 150,653 451,960 225,980 112,990 56,495 169,486 84,743 254,230 127,115 381,346 190,673 572,020 286,010 143,005 429,016 214,508 107,254 53,627 160,882 80,441 241,324 120,662 60,331 180,994

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