9,500,892

2² × 3 × 17 × 46573

Starting at 9,500,892, the Collatz iteration reaches 1 after 176 steps. The first transition is 4750446; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 46573

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,473,296

Proper Divisor Sum 13,972,404

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9500879 ← → #9500899

Radix Representation

Decimal	9500892
Binary	100100001111100011011100 (24 bits)
Octal	0o44174334
Hexadecimal	0x90F8DC

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 46,573 93,146 139,719 186,292 279,438 558,876 791,741 1,583,482 2,375,223 3,166,964 4,750,446 9,500,892

Collatz Trajectory (176 steps to reach 1)

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

9,500,892 4,750,446 2,375,223 7,125,670 3,562,835 10,688,506 5,344,253 16,032,760 8,016,380 4,008,190 2,004,095 6,012,286 3,006,143 9,018,430 4,509,215 13,527,646 6,763,823 20,291,470 10,145,735 30,437,206 15,218,603 45,655,810 22,827,905 68,483,716 34,241,858 17,120,929 51,362,788 25,681,394 12,840,697 38,522,092 19,261,046 9,630,523 28,891,570 14,445,785 43,337,356 21,668,678 10,834,339 32,503,018 16,251,509 48,754,528 24,377,264 12,188,632 6,094,316 3,047,158 1,523,579 4,570,738 2,285,369 6,856,108 3,428,054 1,714,027 5,142,082 2,571,041 7,713,124 3,856,562 1,928,281 5,784,844 2,892,422 1,446,211 4,338,634 2,169,317

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