8,050,491

3² × 59 × 15161

Starting at 8,050,491, the Collatz iteration reaches 1 after 261 steps. The first transition is 24151474; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 59 × 15161

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,826,360

Proper Divisor Sum 3,775,869

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8050481 ← → #8050499

Radix Representation

Decimal	8050491
Binary	11110101101011100111011 (23 bits)
Octal	0o36553473
Hexadecimal	0x7AD73B

Divisor Catalog (12)

1 3 9 59 177 531 15,161 45,483 136,449 894,499 2,683,497 8,050,491

Collatz Trajectory (261 steps to reach 1)

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

8,050,491 24,151,474 12,075,737 36,227,212 18,113,606 9,056,803 27,170,410 13,585,205 40,755,616 20,377,808 10,188,904 5,094,452 2,547,226 1,273,613 3,820,840 1,910,420 955,210 477,605 1,432,816 716,408 358,204 179,102 89,551 268,654 134,327 402,982 201,491 604,474 302,237 906,712 453,356 226,678 113,339 340,018 170,009 510,028 255,014 127,507 382,522 191,261 573,784 286,892 143,446 71,723 215,170 107,585 322,756 161,378 80,689 242,068 121,034 60,517 181,552 90,776 45,388 22,694 11,347 34,042 17,021 51,064

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