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Atlas › Integer Profiles › Node 1,453,472

1,453,472

25 × 53 × 857
Abundant Even Composite

1,453,472 factors as 2^5 × 53 × 857. Its 24 positive divisors give a proper-divisor sum of 1,465,444, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^5 × 53 × 857
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,918,916
Proper Divisor Sum 1,465,444
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1453469 ← → #1453477

Radix Representation

Decimal 1453472
Binary 101100010110110100000 (21 bits)
Octal 0o5426640
Hexadecimal 0x162DA0

Divisor Catalog (24)

1 2 4 8 16 32 53 106 212 424 848 857 1,696 1,714 3,428 6,856 13,712 27,424 45,421 90,842 181,684 363,368 726,736 1,453,472

Collatz Trajectory (168 steps to reach 1)

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

1,453,472 726,736 363,368 181,684 90,842 45,421 136,264 68,132 34,066 17,033 51,100 25,550 12,775 38,326 19,163 57,490 28,745 86,236 43,118 21,559 64,678 32,339 97,018 48,509 145,528 72,764 36,382 18,191 54,574 27,287 81,862 40,931 122,794 61,397 184,192 92,096 46,048 23,024 11,512 5,756 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227

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