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Atlas › Integer Profiles › Node 16,123,712

16,123,712

26 × 11 × 37 × 619
Abundant Even Composite

16,123,712 factors as 2^6 × 11 × 37 × 619. Its 56 positive divisors give a proper-divisor sum of 19,781,728, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 37 × 619
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 35,905,440
Proper Divisor Sum 19,781,728
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #16123711 ← → #16123721

Radix Representation

Decimal 16123712
Binary 111101100000011101000000 (24 bits)
Octal 0o75403500
Hexadecimal 0xF60740

Divisor Catalog (56)

1 2 4 8 11 16 22 32 37 44 64 74 88 148 176 296 352 407 592 619 704 814 1,184 1,238 1,628 2,368 2,476 3,256 4,952 6,512 6,809 9,904 13,024 13,618 19,808 22,903 26,048 27,236 39,616 45,806 54,472 91,612 108,944 183,224 217,888 251,933 366,448 435,776 503,866 732,896 1,007,732 1,465,792 2,015,464 4,030,928 8,061,856 16,123,712

Collatz Trajectory (125 steps to reach 1)

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

16,123,712 8,061,856 4,030,928 2,015,464 1,007,732 503,866 251,933 755,800 377,900 188,950 94,475 283,426 141,713 425,140 212,570 106,285 318,856 159,428 79,714 39,857 119,572 59,786 29,893 89,680 44,840 22,420 11,210 5,605 16,816 8,408 4,204 2,102 1,051 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845

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