7,818,575

5² × 312743

Starting at 7,818,575, the Collatz iteration reaches 1 after 155 steps. The first transition is 23455726; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 312743

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 9,695,064

Proper Divisor Sum 1,876,489

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7818563 ← → #7818599

Radix Representation

Decimal	7818575
Binary	11101110100110101001111 (23 bits)
Octal	0o35646517
Hexadecimal	0x774D4F

Divisor Catalog (6)

1 5 25 312,743 1,563,715 7,818,575

Collatz Trajectory (155 steps to reach 1)

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

7,818,575 23,455,726 11,727,863 35,183,590 17,591,795 52,775,386 26,387,693 79,163,080 39,581,540 19,790,770 9,895,385 29,686,156 14,843,078 7,421,539 22,264,618 11,132,309 33,396,928 16,698,464 8,349,232 4,174,616 2,087,308 1,043,654 521,827 1,565,482 782,741 2,348,224 1,174,112 587,056 293,528 146,764 73,382 36,691 110,074 55,037 165,112 82,556 41,278 20,639 61,918 30,959 92,878 46,439 139,318 69,659 208,978 104,489 313,468 156,734 78,367 235,102 117,551 352,654 176,327 528,982 264,491 793,474 396,737 1,190,212 595,106 297,553

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