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Atlas › Integer Profiles › Node 16,624,840

16,624,840

23 × 5 × 37 × 47 × 239
Abundant Even Composite

16,624,840 factors as 2^3 × 5 × 37 × 47 × 239. Its 64 positive divisors give a proper-divisor sum of 22,773,560, so this integer is abundant. The Collatz stopping time is 306 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 37 × 47 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 39,398,400
Proper Divisor Sum 22,773,560
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #16624823 ← → #16624841

Radix Representation

Decimal 16624840
Binary 111111011010110011001000 (24 bits)
Octal 0o77326310
Hexadecimal 0xFDACC8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 37 40 47 74 94 148 185 188 235 239 296 370 376 470 478 740 940 956 1,195 1,480 1,739 1,880 1,912 2,390 3,478 4,780 6,956 8,695 8,843 9,560 11,233 13,912 17,390 17,686 22,466 34,780 35,372 44,215 44,932 56,165 69,560 70,744 88,430 89,864 112,330 176,860 224,660 353,720 415,621 449,320 831,242 1,662,484 2,078,105

Collatz Trajectory (306 steps to reach 1)

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

16,624,840 8,312,420 4,156,210 2,078,105 6,234,316 3,117,158 1,558,579 4,675,738 2,337,869 7,013,608 3,506,804 1,753,402 876,701 2,630,104 1,315,052 657,526 328,763 986,290 493,145 1,479,436 739,718 369,859 1,109,578 554,789 1,664,368 832,184 416,092 208,046 104,023 312,070 156,035 468,106 234,053 702,160 351,080 175,540 87,770 43,885 131,656 65,828 32,914 16,457 49,372 24,686 12,343 37,030 18,515 55,546 27,773 83,320 41,660 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460

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