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Atlas › Integer Profiles › Node 13,634,152

13,634,152

23 × 72 × 34781
Abundant Even Composite

13,634,152 factors as 2^3 × 7^2 × 34781. Its 24 positive divisors give a proper-divisor sum of 16,104,458, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 34781
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 29,738,610
Proper Divisor Sum 16,104,458
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #13634143 ← → #13634189

Radix Representation

Decimal 13634152
Binary 110100000000101001101000 (24 bits)
Octal 0o64005150
Hexadecimal 0xD00A68

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 34,781 69,562 139,124 243,467 278,248 486,934 973,868 1,704,269 1,947,736 3,408,538 6,817,076 13,634,152

Collatz Trajectory (86 steps to reach 1)

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

13,634,152 6,817,076 3,408,538 1,704,269 5,112,808 2,556,404 1,278,202 639,101 1,917,304 958,652 479,326 239,663 718,990 359,495 1,078,486 539,243 1,617,730 808,865 2,426,596 1,213,298 606,649 1,819,948 909,974 454,987 1,364,962 682,481 2,047,444 1,023,722 511,861 1,535,584 767,792 383,896 191,948 95,974 47,987 143,962 71,981 215,944 107,972 53,986 26,993 80,980 40,490 20,245 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67

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