5,165,044

2² × 461 × 2801

Starting at 5,165,044, the Collatz iteration reaches 1 after 100 steps. The first transition is 2582522; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 461 × 2801

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,061,668

Proper Divisor Sum 3,896,624

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #5165021 ← → #5165051

Radix Representation

Decimal	5165044
Binary	10011101100111111110100 (23 bits)
Octal	0o23547764
Hexadecimal	0x4ECFF4

Divisor Catalog (12)

1 2 4 461 922 1,844 2,801 5,602 11,204 1,291,261 2,582,522 5,165,044

Collatz Trajectory (100 steps to reach 1)

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

5,165,044 2,582,522 1,291,261 3,873,784 1,936,892 968,446 484,223 1,452,670 726,335 2,179,006 1,089,503 3,268,510 1,634,255 4,902,766 2,451,383 7,354,150 3,677,075 11,031,226 5,515,613 16,546,840 8,273,420 4,136,710 2,068,355 6,205,066 3,102,533 9,307,600 4,653,800 2,326,900 1,163,450 581,725 1,745,176 872,588 436,294 218,147 654,442 327,221 981,664 490,832 245,416 122,708 61,354 30,677 92,032 46,016 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911

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