8,259,017

13 × 635309

Starting at 8,259,017, the Collatz iteration reaches 1 after 186 steps. The first transition is 24777052; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 635309

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,894,340

Proper Divisor Sum 635,323

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8259007 ← → #8259019

Radix Representation

Decimal	8259017
Binary	11111100000010111001001 (23 bits)
Octal	0o37402711
Hexadecimal	0x7E05C9

Divisor Catalog (4)

1 13 635,309 8,259,017

Collatz Trajectory (186 steps to reach 1)

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

8,259,017 24,777,052 12,388,526 6,194,263 18,582,790 9,291,395 27,874,186 13,937,093 41,811,280 20,905,640 10,452,820 5,226,410 2,613,205 7,839,616 3,919,808 1,959,904 979,952 489,976 244,988 122,494 61,247 183,742 91,871 275,614 137,807 413,422 206,711 620,134 310,067 930,202 465,101 1,395,304 697,652 348,826 174,413 523,240 261,620 130,810 65,405 196,216 98,108 49,054 24,527 73,582 36,791 110,374 55,187 165,562 82,781 248,344 124,172 62,086 31,043 93,130 46,565 139,696 69,848 34,924 17,462 8,731

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