917,432

2³ × 114679

Starting at 917,432, the Collatz iteration reaches 1 after 201 steps. The first transition is 458716; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 114679

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,720,200

Proper Divisor Sum 802,768

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #917407 ← → #917443

Radix Representation

Decimal	917432
Binary	11011111111110111000 (20 bits)
Octal	0o3377670
Hexadecimal	0xDFFB8

Divisor Catalog (8)

1 2 4 8 114,679 229,358 458,716 917,432

Collatz Trajectory (201 steps to reach 1)

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

917,432 458,716 229,358 114,679 344,038 172,019 516,058 258,029 774,088 387,044 193,522 96,761 290,284 145,142 72,571 217,714 108,857 326,572 163,286 81,643 244,930 122,465 367,396 183,698 91,849 275,548 137,774 68,887 206,662 103,331 309,994 154,997 464,992 232,496 116,248 58,124 29,062 14,531 43,594 21,797 65,392 32,696 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822

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