7,657,639

11 × 696149

Starting at 7,657,639, the Collatz iteration reaches 1 after 155 steps. The first transition is 22972918; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 696149

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,353,800

Proper Divisor Sum 696,161

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7657613 ← → #7657679

Radix Representation

Decimal	7657639
Binary	11101001101100010100111 (23 bits)
Octal	0o35154247
Hexadecimal	0x74D8A7

Divisor Catalog (4)

1 11 696,149 7,657,639

Collatz Trajectory (155 steps to reach 1)

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

7,657,639 22,972,918 11,486,459 34,459,378 17,229,689 51,689,068 25,844,534 12,922,267 38,766,802 19,383,401 58,150,204 29,075,102 14,537,551 43,612,654 21,806,327 65,418,982 32,709,491 98,128,474 49,064,237 147,192,712 73,596,356 36,798,178 18,399,089 55,197,268 27,598,634 13,799,317 41,397,952 20,698,976 10,349,488 5,174,744 2,587,372 1,293,686 646,843 1,940,530 970,265 2,910,796 1,455,398 727,699 2,183,098 1,091,549 3,274,648 1,637,324 818,662 409,331 1,227,994 613,997 1,841,992 920,996 460,498 230,249 690,748 345,374 172,687 518,062 259,031 777,094 388,547 1,165,642 582,821 1,748,464

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