λ
Ratio Atlas

92,232,002

2 × 827 × 55763
Deficient Even Composite

92,232,002 factors as 2 × 827 × 55763. Its 8 positive divisors give a proper-divisor sum of 46,285,774, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2 × 827 × 55763
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 138,517,776
Proper Divisor Sum 46,285,774
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #92231983 ← → #92232079

Radix Representation

Decimal 92232002
Binary 101011111110101100101000010 (27 bits)
Octal 0o537654502
Hexadecimal 0x57F5942

Divisor Catalog (8)

Collatz Trajectory (130 steps to reach 1)

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

92,232,002 46,116,001 138,348,004 69,174,002 34,587,001 103,761,004 51,880,502 25,940,251 77,820,754 38,910,377 116,731,132 58,365,566 29,182,783 87,548,350 43,774,175 131,322,526 65,661,263 196,983,790 98,491,895 295,475,686 147,737,843 443,213,530 221,606,765 664,820,296 332,410,148 166,205,074 83,102,537 249,307,612 124,653,806 62,326,903 186,980,710 93,490,355 280,471,066 140,235,533 420,706,600 210,353,300 105,176,650 52,588,325 157,764,976 78,882,488 39,441,244 19,720,622 9,860,311 29,580,934 14,790,467 44,371,402 22,185,701 66,557,104 33,278,552 16,639,276 8,319,638 4,159,819 12,479,458 6,239,729 18,719,188 9,359,594 4,679,797 14,039,392 7,019,696 3,509,848

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