λ
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920,952

23 × 32 × 12791
Abundant Even Composite

920,952 factors as 2^3 × 3^2 × 12791. Its 24 positive divisors give a proper-divisor sum of 1,573,488, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 12791
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,494,440
Proper Divisor Sum 1,573,488
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #920951 ← → #920957

Radix Representation

Decimal 920952
Binary 11100000110101111000 (20 bits)
Octal 0o3406570
Hexadecimal 0xE0D78

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 12,791 25,582 38,373 51,164 76,746 102,328 115,119 153,492 230,238 306,984 460,476 920,952

Collatz Trajectory (201 steps to reach 1)

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

920,952 460,476 230,238 115,119 345,358 172,679 518,038 259,019 777,058 388,529 1,165,588 582,794 291,397 874,192 437,096 218,548 109,274 54,637 163,912 81,956 40,978 20,489 61,468 30,734 15,367 46,102 23,051 69,154 34,577 103,732 51,866 25,933 77,800 38,900 19,450 9,725 29,176 14,588 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974

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