λ
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Atlas › Integer Profiles › Node 63,467,716

63,467,716

22 × 13 × 59 × 137 × 151
Deficient Even Composite

63,467,716 factors as 2^2 × 13 × 59 × 137 × 151. Its 48 positive divisors give a proper-divisor sum of 59,871,164, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 59 × 137 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 123,338,880
Proper Divisor Sum 59,871,164
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #63467711 ← → #63467717

Radix Representation

Decimal 63467716
Binary 11110010000111000011000100 (26 bits)
Octal 0o362070304
Hexadecimal 0x3C870C4

Divisor Catalog (48)

1 2 4 13 26 52 59 118 137 151 236 274 302 548 604 767 1,534 1,781 1,963 3,068 3,562 3,926 7,124 7,852 8,083 8,909 16,166 17,818 20,687 32,332 35,636 41,374 82,748 105,079 115,817 210,158 231,634 268,931 420,316 463,268 537,862 1,075,724 1,220,533 2,441,066 4,882,132 15,866,929 31,733,858 63,467,716

Collatz Trajectory (127 steps to reach 1)

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

63,467,716 31,733,858 15,866,929 47,600,788 23,800,394 11,900,197 35,700,592 17,850,296 8,925,148 4,462,574 2,231,287 6,693,862 3,346,931 10,040,794 5,020,397 15,061,192 7,530,596 3,765,298 1,882,649 5,647,948 2,823,974 1,411,987 4,235,962 2,117,981 6,353,944 3,176,972 1,588,486 794,243 2,382,730 1,191,365 3,574,096 1,787,048 893,524 446,762 223,381 670,144 335,072 167,536 83,768 41,884 20,942 10,471 31,414 15,707 47,122 23,561 70,684 35,342 17,671 53,014 26,507 79,522 39,761 119,284 59,642 29,821 89,464 44,732 22,366 11,183

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