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4,567,472

24 × 7 × 13 × 3137
Abundant Even Composite

4,567,472 factors as 2^4 × 7 × 13 × 3137. Its 40 positive divisors give a proper-divisor sum of 6,327,664, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 3137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,895,136
Proper Divisor Sum 6,327,664
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4567421 ← → #4567481

Radix Representation

Decimal 4567472
Binary 10001011011000110110000 (23 bits)
Octal 0o21330660
Hexadecimal 0x45B1B0

Divisor Catalog (40)

1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1,456 3,137 6,274 12,548 21,959 25,096 40,781 43,918 50,192 81,562 87,836 163,124 175,672 285,467 326,248 351,344 570,934 652,496 1,141,868 2,283,736 4,567,472

Collatz Trajectory (162 steps to reach 1)

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

4,567,472 2,283,736 1,141,868 570,934 285,467 856,402 428,201 1,284,604 642,302 321,151 963,454 481,727 1,445,182 722,591 2,167,774 1,083,887 3,251,662 1,625,831 4,877,494 2,438,747 7,316,242 3,658,121 10,974,364 5,487,182 2,743,591 8,230,774 4,115,387 12,346,162 6,173,081 18,519,244 9,259,622 4,629,811 13,889,434 6,944,717 20,834,152 10,417,076 5,208,538 2,604,269 7,812,808 3,906,404 1,953,202 976,601 2,929,804 1,464,902 732,451 2,197,354 1,098,677 3,296,032 1,648,016 824,008 412,004 206,002 103,001 309,004 154,502 77,251 231,754 115,877 347,632 173,816

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