7,571,759

13 × 239 × 2437

Starting at 7,571,759, the Collatz iteration reaches 1 after 217 steps. The first transition is 22715278; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 239 × 2437

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,191,680

Proper Divisor Sum 619,921

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7571743 ← → #7571771

Radix Representation

Decimal	7571759
Binary	11100111000100100101111 (23 bits)
Octal	0o34704457
Hexadecimal	0x73892F

Divisor Catalog (8)

1 13 239 2,437 3,107 31,681 582,443 7,571,759

Collatz Trajectory (217 steps to reach 1)

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

7,571,759 22,715,278 11,357,639 34,072,918 17,036,459 51,109,378 25,554,689 76,664,068 38,332,034 19,166,017 57,498,052 28,749,026 14,374,513 43,123,540 21,561,770 10,780,885 32,342,656 16,171,328 8,085,664 4,042,832 2,021,416 1,010,708 505,354 252,677 758,032 379,016 189,508 94,754 47,377 142,132 71,066 35,533 106,600 53,300 26,650 13,325 39,976 19,988 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018

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