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Atlas › Integer Profiles › Node 1,131,968

1,131,968

26 × 23 × 769
Abundant Even Composite

1,131,968 factors as 2^6 × 23 × 769. Its 28 positive divisors give a proper-divisor sum of 1,214,992, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^6 × 23 × 769
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 2,346,960
Proper Divisor Sum 1,214,992
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1131961 ← → #1131973

Radix Representation

Decimal 1131968
Binary 100010100010111000000 (21 bits)
Octal 0o4242700
Hexadecimal 0x1145C0

Divisor Catalog (28)

1 2 4 8 16 23 32 46 64 92 184 368 736 769 1,472 1,538 3,076 6,152 12,304 17,687 24,608 35,374 49,216 70,748 141,496 282,992 565,984 1,131,968

Collatz Trajectory (85 steps to reach 1)

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

1,131,968 565,984 282,992 141,496 70,748 35,374 17,687 53,062 26,531 79,594 39,797 119,392 59,696 29,848 14,924 7,462 3,731 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202

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