6,452,432

2⁴ × 7 × 53 × 1087

Starting at 6,452,432, the Collatz iteration reaches 1 after 72 steps. The first transition is 3226216; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 53 × 1087

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 14,570,496

Proper Divisor Sum 8,118,064

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6452431 ← → #6452447

Radix Representation

Decimal	6452432
Binary	11000100111010011010000 (23 bits)
Octal	0o30472320
Hexadecimal	0x6274D0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1,087 1,484 2,174 2,968 4,348 5,936 7,609 8,696 15,218 17,392 30,436 57,611 60,872 115,222 121,744 230,444 403,277 460,888 806,554 921,776 1,613,108 3,226,216 6,452,432

Collatz Trajectory (72 steps to reach 1)

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

6,452,432 3,226,216 1,613,108 806,554 403,277 1,209,832 604,916 302,458 151,229 453,688 226,844 113,422 56,711 170,134 85,067 255,202 127,601 382,804 191,402 95,701 287,104 143,552 71,776 35,888 17,944 8,972 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34

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