8,259,131

313 × 26387

Starting at 8,259,131, the Collatz iteration reaches 1 after 106 steps. The first transition is 24777394; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 313 × 26387

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,285,832

Proper Divisor Sum 26,701

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8259109 ← → #8259137

Radix Representation

Decimal	8259131
Binary	11111100000011000111011 (23 bits)
Octal	0o37403073
Hexadecimal	0x7E063B

Divisor Catalog (4)

1 313 26,387 8,259,131

Collatz Trajectory (106 steps to reach 1)

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

8,259,131 24,777,394 12,388,697 37,166,092 18,583,046 9,291,523 27,874,570 13,937,285 41,811,856 20,905,928 10,452,964 5,226,482 2,613,241 7,839,724 3,919,862 1,959,931 5,879,794 2,939,897 8,819,692 4,409,846 2,204,923 6,614,770 3,307,385 9,922,156 4,961,078 2,480,539 7,441,618 3,720,809 11,162,428 5,581,214 2,790,607 8,371,822 4,185,911 12,557,734 6,278,867 18,836,602 9,418,301 28,254,904 14,127,452 7,063,726 3,531,863 10,595,590 5,297,795 15,893,386 7,946,693 23,840,080 11,920,040 5,960,020 2,980,010 1,490,005 4,470,016 2,235,008 1,117,504 558,752 279,376 139,688 69,844 34,922 17,461 52,384

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