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Atlas › Integer Profiles › Node 51,117,402

51,117,402

2 × 3 × 7 × 17 × 71593
Abundant Even Composite

51,117,402 factors as 2 × 3 × 7 × 17 × 71593. Its 32 positive divisors give a proper-divisor sum of 72,597,030, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17 × 71593
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 123,714,432
Proper Divisor Sum 72,597,030
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #51117397 ← → #51117421

Radix Representation

Decimal 51117402
Binary 11000010111111110101011010 (26 bits)
Octal 0o302776532
Hexadecimal 0x30BFD5A

Divisor Catalog (32)

1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 71,593 143,186 214,779 429,558 501,151 1,002,302 1,217,081 1,503,453 2,434,162 3,006,906 3,651,243 7,302,486 8,519,567 17,039,134 25,558,701 51,117,402

Collatz Trajectory (98 steps to reach 1)

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

51,117,402 25,558,701 76,676,104 38,338,052 19,169,026 9,584,513 28,753,540 14,376,770 7,188,385 21,565,156 10,782,578 5,391,289 16,173,868 8,086,934 4,043,467 12,130,402 6,065,201 18,195,604 9,097,802 4,548,901 13,646,704 6,823,352 3,411,676 1,705,838 852,919 2,558,758 1,279,379 3,838,138 1,919,069 5,757,208 2,878,604 1,439,302 719,651 2,158,954 1,079,477 3,238,432 1,619,216 809,608 404,804 202,402 101,201 303,604 151,802 75,901 227,704 113,852 56,926 28,463 85,390 42,695 128,086 64,043 192,130 96,065 288,196 144,098 72,049 216,148 108,074 54,037

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