920,552

2³ × 23 × 5003

920,552 factors as 2^3 × 23 × 5003. Its 16 positive divisors give a proper-divisor sum of 880,888, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 5003

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,801,440

Proper Divisor Sum 880,888

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #920539 ← → #920561

Radix Representation

Decimal	920552
Binary	11100000101111101000 (20 bits)
Octal	0o3405750
Hexadecimal	0xE0BE8

Divisor Catalog (16)

1 2 4 8 23 46 92 184 5,003 10,006 20,012 40,024 115,069 230,138 460,276 920,552

Collatz Trajectory (201 steps to reach 1)

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

920,552 460,276 230,138 115,069 345,208 172,604 86,302 43,151 129,454 64,727 194,182 97,091 291,274 145,637 436,912 218,456 109,228 54,614 27,307 81,922 40,961 122,884 61,442 30,721 92,164 46,082 23,041 69,124 34,562 17,281 51,844 25,922 12,961 38,884 19,442 9,721 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203 24,610 12,305 36,916 18,458 9,229 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974

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