8,572,175

5² × 103 × 3329

Starting at 8,572,175, the Collatz iteration reaches 1 after 150 steps. The first transition is 25716526; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 103 × 3329

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,735,920

Proper Divisor Sum 2,163,745

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8572163 ← → #8572217

Radix Representation

Decimal	8572175
Binary	100000101100110100001111 (24 bits)
Octal	0o40546417
Hexadecimal	0x82CD0F

Divisor Catalog (12)

1 5 25 103 515 2,575 3,329 16,645 83,225 342,887 1,714,435 8,572,175

Collatz Trajectory (150 steps to reach 1)

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

8,572,175 25,716,526 12,858,263 38,574,790 19,287,395 57,862,186 28,931,093 86,793,280 43,396,640 21,698,320 10,849,160 5,424,580 2,712,290 1,356,145 4,068,436 2,034,218 1,017,109 3,051,328 1,525,664 762,832 381,416 190,708 95,354 47,677 143,032 71,516 35,758 17,879 53,638 26,819 80,458 40,229 120,688 60,344 30,172 15,086 7,543 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070

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