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Atlas › Integer Profiles › Node 4,492,720

4,492,720

24 × 5 × 89 × 631
Abundant Even Composite

4,492,720 factors as 2^4 × 5 × 89 × 631. Its 40 positive divisors give a proper-divisor sum of 6,086,960, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 89 × 631
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,579,680
Proper Divisor Sum 6,086,960
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4492717 ← → #4492723

Radix Representation

Decimal 4492720
Binary 10001001000110110110000 (23 bits)
Octal 0o21106660
Hexadecimal 0x448DB0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 89 178 356 445 631 712 890 1,262 1,424 1,780 2,524 3,155 3,560 5,048 6,310 7,120 10,096 12,620 25,240 50,480 56,159 112,318 224,636 280,795 449,272 561,590 898,544 1,123,180 2,246,360 4,492,720

Collatz Trajectory (224 steps to reach 1)

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

4,492,720 2,246,360 1,123,180 561,590 280,795 842,386 421,193 1,263,580 631,790 315,895 947,686 473,843 1,421,530 710,765 2,132,296 1,066,148 533,074 266,537 799,612 399,806 199,903 599,710 299,855 899,566 449,783 1,349,350 674,675 2,024,026 1,012,013 3,036,040 1,518,020 759,010 379,505 1,138,516 569,258 284,629 853,888 426,944 213,472 106,736 53,368 26,684 13,342 6,671 20,014 10,007 30,022 15,011 45,034 22,517 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751

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