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Atlas › Integer Profiles › Node 16,398,880

16,398,880

25 × 5 × 17 × 6029
Abundant Even Composite

16,398,880 factors as 2^5 × 5 × 17 × 6029. Its 48 positive divisors give a proper-divisor sum of 24,629,240, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 17 × 6029
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 41,028,120
Proper Divisor Sum 24,629,240
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #16398869 ← → #16398887

Radix Representation

Decimal 16398880
Binary 111110100011101000100000 (24 bits)
Octal 0o76435040
Hexadecimal 0xFA3A20

Divisor Catalog (48)

1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1,360 2,720 6,029 12,058 24,116 30,145 48,232 60,290 96,464 102,493 120,580 192,928 204,986 241,160 409,972 482,320 512,465 819,944 964,640 1,024,930 1,639,888 2,049,860 3,279,776 4,099,720 8,199,440 16,398,880

Collatz Trajectory (107 steps to reach 1)

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

16,398,880 8,199,440 4,099,720 2,049,860 1,024,930 512,465 1,537,396 768,698 384,349 1,153,048 576,524 288,262 144,131 432,394 216,197 648,592 324,296 162,148 81,074 40,537 121,612 60,806 30,403 91,210 45,605 136,816 68,408 34,204 17,102 8,551 25,654 12,827 38,482 19,241 57,724 28,862 14,431 43,294 21,647 64,942 32,471 97,414 48,707 146,122 73,061 219,184 109,592 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853 11,560 5,780 2,890

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