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Atlas › Integer Profiles › Node 16,685,216

16,685,216

25 × 607 × 859
Deficient Even Composite

16,685,216 factors as 2^5 × 607 × 859. Its 24 positive divisors give a proper-divisor sum of 16,256,224, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^5 × 607 × 859
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 32,941,440
Proper Divisor Sum 16,256,224
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #16685197 ← → #16685231

Radix Representation

Decimal 16685216
Binary 111111101001100010100000 (24 bits)
Octal 0o77514240
Hexadecimal 0xFE98A0

Divisor Catalog (24)

1 2 4 8 16 32 607 859 1,214 1,718 2,428 3,436 4,856 6,872 9,712 13,744 19,424 27,488 521,413 1,042,826 2,085,652 4,171,304 8,342,608 16,685,216

Collatz Trajectory (107 steps to reach 1)

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

16,685,216 8,342,608 4,171,304 2,085,652 1,042,826 521,413 1,564,240 782,120 391,060 195,530 97,765 293,296 146,648 73,324 36,662 18,331 54,994 27,497 82,492 41,246 20,623 61,870 30,935 92,806 46,403 139,210 69,605 208,816 104,408 52,204 26,102 13,051 39,154 19,577 58,732 29,366 14,683 44,050 22,025 66,076 33,038 16,519 49,558 24,779 74,338 37,169 111,508 55,754 27,877 83,632 41,816 20,908 10,454 5,227 15,682 7,841 23,524 11,762 5,881 17,644

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