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Atlas › Integer Profiles › Node 5,111,312

5,111,312

24 × 61 × 5237
Deficient Even Composite

5,111,312 factors as 2^4 × 61 × 5237. Its 20 positive divisors give a proper-divisor sum of 4,956,124, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^4 × 61 × 5237
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,067,436
Proper Divisor Sum 4,956,124
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #5111303 ← → #5111317

Radix Representation

Decimal 5111312
Binary 10011011111111000010000 (23 bits)
Octal 0o23377020
Hexadecimal 0x4DFE10

Divisor Catalog (20)

1 2 4 8 16 61 122 244 488 976 5,237 10,474 20,948 41,896 83,792 319,457 638,914 1,277,828 2,555,656 5,111,312

Collatz Trajectory (126 steps to reach 1)

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

5,111,312 2,555,656 1,277,828 638,914 319,457 958,372 479,186 239,593 718,780 359,390 179,695 539,086 269,543 808,630 404,315 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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