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Atlas › Integer Profiles › Node 63,101,104

63,101,104

24 × 11 × 137 × 2617
Abundant Even Composite

63,101,104 factors as 2^4 × 11 × 137 × 2617. Its 40 positive divisors give a proper-divisor sum of 71,296,544, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 137 × 2617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 134,397,648
Proper Divisor Sum 71,296,544
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #63101099 ← → #63101107

Radix Representation

Decimal 63101104
Binary 11110000101101100010110000 (26 bits)
Octal 0o360554260
Hexadecimal 0x3C2D8B0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 137 176 274 548 1,096 1,507 2,192 2,617 3,014 5,234 6,028 10,468 12,056 20,936 24,112 28,787 41,872 57,574 115,148 230,296 358,529 460,592 717,058 1,434,116 2,868,232 3,943,819 5,736,464 7,887,638 15,775,276 31,550,552 63,101,104

Collatz Trajectory (70 steps to reach 1)

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

63,101,104 31,550,552 15,775,276 7,887,638 3,943,819 11,831,458 5,915,729 17,747,188 8,873,594 4,436,797 13,310,392 6,655,196 3,327,598 1,663,799 4,991,398 2,495,699 7,487,098 3,743,549 11,230,648 5,615,324 2,807,662 1,403,831 4,211,494 2,105,747 6,317,242 3,158,621 9,475,864 4,737,932 2,368,966 1,184,483 3,553,450 1,776,725 5,330,176 2,665,088 1,332,544 666,272 333,136 166,568 83,284 41,642 20,821 62,464 31,232 15,616 7,808 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53

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