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Atlas › Integer Profiles › Node 17,415,664

17,415,664

24 × 7 × 131 × 1187
Abundant Even Composite

17,415,664 factors as 2^4 × 7 × 131 × 1187. Its 40 positive divisors give a proper-divisor sum of 21,474,704, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 131 × 1187
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 38,890,368
Proper Divisor Sum 21,474,704
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #17415653 ← → #17415721

Radix Representation

Decimal 17415664
Binary 1000010011011110111110000 (25 bits)
Octal 0o102336760
Hexadecimal 0x109BDF0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 131 262 524 917 1,048 1,187 1,834 2,096 2,374 3,668 4,748 7,336 8,309 9,496 14,672 16,618 18,992 33,236 66,472 132,944 155,497 310,994 621,988 1,088,479 1,243,976 2,176,958 2,487,952 4,353,916 8,707,832 17,415,664

Collatz Trajectory (182 steps to reach 1)

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

17,415,664 8,707,832 4,353,916 2,176,958 1,088,479 3,265,438 1,632,719 4,898,158 2,449,079 7,347,238 3,673,619 11,020,858 5,510,429 16,531,288 8,265,644 4,132,822 2,066,411 6,199,234 3,099,617 9,298,852 4,649,426 2,324,713 6,974,140 3,487,070 1,743,535 5,230,606 2,615,303 7,845,910 3,922,955 11,768,866 5,884,433 17,653,300 8,826,650 4,413,325 13,239,976 6,619,988 3,309,994 1,654,997 4,964,992 2,482,496 1,241,248 620,624 310,312 155,156 77,578 38,789 116,368 58,184 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413

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