8,119,767

3 × 47 × 57587

Starting at 8,119,767, the Collatz iteration reaches 1 after 230 steps. The first transition is 24359302; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 47 × 57587

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,056,896

Proper Divisor Sum 2,937,129

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8119753 ← → #8119777

Radix Representation

Decimal	8119767
Binary	11110111110010111010111 (23 bits)
Octal	0o36762727
Hexadecimal	0x7BE5D7

Divisor Catalog (8)

1 3 47 141 57,587 172,761 2,706,589 8,119,767

Collatz Trajectory (230 steps to reach 1)

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

8,119,767 24,359,302 12,179,651 36,538,954 18,269,477 54,808,432 27,404,216 13,702,108 6,851,054 3,425,527 10,276,582 5,138,291 15,414,874 7,707,437 23,122,312 11,561,156 5,780,578 2,890,289 8,670,868 4,335,434 2,167,717 6,503,152 3,251,576 1,625,788 812,894 406,447 1,219,342 609,671 1,829,014 914,507 2,743,522 1,371,761 4,115,284 2,057,642 1,028,821 3,086,464 1,543,232 771,616 385,808 192,904 96,452 48,226 24,113 72,340 36,170 18,085 54,256 27,128 13,564 6,782 3,391 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514

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