1,011,362

2 × 11 × 45971

Starting at 1,011,362, the Collatz iteration reaches 1 after 82 steps. The first transition is 505681; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 45971

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,654,992

Proper Divisor Sum 643,630

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #1011359 ← → #1011371

Radix Representation

Decimal	1011362
Binary	11110110111010100010 (20 bits)
Octal	0o3667242
Hexadecimal	0xF6EA2

Divisor Catalog (8)

1 2 11 22 45,971 91,942 505,681 1,011,362

Collatz Trajectory (82 steps to reach 1)

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

1,011,362 505,681 1,517,044 758,522 379,261 1,137,784 568,892 284,446 142,223 426,670 213,335 640,006 320,003 960,010 480,005 1,440,016 720,008 360,004 180,002 90,001 270,004 135,002 67,501 202,504 101,252 50,626 25,313 75,940 37,970 18,985 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416

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