9,451,071

3² × 7² × 29 × 739

Starting at 9,451,071, the Collatz iteration reaches 1 after 225 steps. The first transition is 28353214; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 29 × 739

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 16,450,200

Proper Divisor Sum 6,999,129

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9451069 ← → #9451073

Radix Representation

Decimal	9451071
Binary	100100000011011000111111 (24 bits)
Octal	0o44033077
Hexadecimal	0x90363F

Divisor Catalog (36)

1 3 7 9 21 29 49 63 87 147 203 261 441 609 739 1,421 1,827 2,217 4,263 5,173 6,651 12,789 15,519 21,431 36,211 46,557 64,293 108,633 150,017 192,879 325,899 450,051 1,050,119 1,350,153 3,150,357 9,451,071

Collatz Trajectory (225 steps to reach 1)

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

9,451,071 28,353,214 14,176,607 42,529,822 21,264,911 63,794,734 31,897,367 95,692,102 47,846,051 143,538,154 71,769,077 215,307,232 107,653,616 53,826,808 26,913,404 13,456,702 6,728,351 20,185,054 10,092,527 30,277,582 15,138,791 45,416,374 22,708,187 68,124,562 34,062,281 102,186,844 51,093,422 25,546,711 76,640,134 38,320,067 114,960,202 57,480,101 172,440,304 86,220,152 43,110,076 21,555,038 10,777,519 32,332,558 16,166,279 48,498,838 24,249,419 72,748,258 36,374,129 109,122,388 54,561,194 27,280,597 81,841,792 40,920,896 20,460,448 10,230,224 5,115,112 2,557,556 1,278,778 639,389 1,918,168 959,084 479,542 239,771 719,314 359,657

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