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Atlas › Integer Profiles › Node 5,111,320

5,111,320

23 × 5 × 53 × 2411
Abundant Even Composite

5,111,320 factors as 2^3 × 5 × 53 × 2411. Its 32 positive divisors give a proper-divisor sum of 6,611,000, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 53 × 2411
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,722,320
Proper Divisor Sum 6,611,000
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #5111317 ← → #5111341

Radix Representation

Decimal 5111320
Binary 10011011111111000011000 (23 bits)
Octal 0o23377030
Hexadecimal 0x4DFE18

Divisor Catalog (32)

1 2 4 5 8 10 20 40 53 106 212 265 424 530 1,060 2,120 2,411 4,822 9,644 12,055 19,288 24,110 48,220 96,440 127,783 255,566 511,132 638,915 1,022,264 1,277,830 2,555,660 5,111,320

Collatz Trajectory (126 steps to reach 1)

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

5,111,320 2,555,660 1,277,830 638,915 1,916,746 958,373 2,875,120 1,437,560 718,780 359,390 179,695 539,086 269,543 808,630 404,315 1,212,946 606,473 1,819,420 909,710 454,855 1,364,566 682,283 2,046,850 1,023,425 3,070,276 1,535,138 767,569 2,302,708 1,151,354 575,677 1,727,032 863,516 431,758 215,879 647,638 323,819 971,458 485,729 1,457,188 728,594 364,297 1,092,892 546,446 273,223 819,670 409,835 1,229,506 614,753 1,844,260 922,130 461,065 1,383,196 691,598 345,799 1,037,398 518,699 1,556,098 778,049 2,334,148 1,167,074

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