λ
Prime Ledger

1,452,992

26 × 73 × 311
Abundant Even Composite

1,452,992 has the prime decomposition 2^6 × 73 × 311. Its 3 distinct prime factors produce 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 73 × 311
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 2,932,176
Proper Divisor Sum 1,479,184
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1452991 ← → #1453003

Radix Representation

Decimal 1452992
Binary 101100010101111000000 (21 bits)
Octal 0o5425700
Hexadecimal 0x162BC0

Divisor Catalog (28)

1 2 4 8 16 32 64 73 146 292 311 584 622 1,168 1,244 2,336 2,488 4,672 4,976 9,952 19,904 22,703 45,406 90,812 181,624 363,248 726,496 1,452,992

Collatz Trajectory (106 steps to reach 1)

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

1,452,992 726,496 363,248 181,624 90,812 45,406 22,703 68,110 34,055 102,166 51,083 153,250 76,625 229,876 114,938 57,469 172,408 86,204 43,102 21,551 64,654 32,327 96,982 48,491 145,474 72,737 218,212 109,106 54,553 163,660 81,830 40,915 122,746 61,373 184,120 92,060 46,030 23,015 69,046 34,523 103,570 51,785 155,356 77,678 38,839 116,518 58,259 174,778 87,389 262,168 131,084 65,542 32,771 98,314 49,157 147,472 73,736 36,868 18,434 9,217

More profiles

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