5,442,625

5³ × 43541

Starting at 5,442,625, the Collatz iteration reaches 1 after 126 steps. The first transition is 16327876; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 43541

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,792,552

Proper Divisor Sum 1,349,927

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #5442581 ← → #5442629

Radix Representation

Decimal	5442625
Binary	10100110000110001000001 (23 bits)
Octal	0o24606101
Hexadecimal	0x530C41

Divisor Catalog (8)

1 5 25 125 43,541 217,705 1,088,525 5,442,625

Collatz Trajectory (126 steps to reach 1)

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

5,442,625 16,327,876 8,163,938 4,081,969 12,245,908 6,122,954 3,061,477 9,184,432 4,592,216 2,296,108 1,148,054 574,027 1,722,082 861,041 2,583,124 1,291,562 645,781 1,937,344 968,672 484,336 242,168 121,084 60,542 30,271 90,814 45,407 136,222 68,111 204,334 102,167 306,502 153,251 459,754 229,877 689,632 344,816 172,408 86,204 43,102 21,551 64,654 32,327 96,982 48,491 145,474 72,737 218,212 109,106 54,553 163,660 81,830 40,915 122,746 61,373 184,120 92,060 46,030 23,015 69,046 34,523

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