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Atlas › Integer Profiles › Node 11,625,807

11,625,807

3 × 17 × 37 × 61 × 101
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 17 × 37 × 61 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,302,464
Proper Divisor Sum 5,676,657
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #11625799 ← → #11625827

Radix Representation

Decimal 11625807
Binary 101100010110010101001111 (24 bits)
Octal 0o54262517
Hexadecimal 0xB1654F

Divisor Catalog (32)

1 3 17 37 51 61 101 111 183 303 629 1,037 1,717 1,887 2,257 3,111 3,737 5,151 6,161 6,771 11,211 18,483 38,369 63,529 104,737 115,107 190,587 227,957 314,211 683,871 3,875,269 11,625,807

Collatz Trajectory (184 steps to reach 1)

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

11,625,807 34,877,422 17,438,711 52,316,134 26,158,067 78,474,202 39,237,101 117,711,304 58,855,652 29,427,826 14,713,913 44,141,740 22,070,870 11,035,435 33,106,306 16,553,153 49,659,460 24,829,730 12,414,865 37,244,596 18,622,298 9,311,149 27,933,448 13,966,724 6,983,362 3,491,681 10,475,044 5,237,522 2,618,761 7,856,284 3,928,142 1,964,071 5,892,214 2,946,107 8,838,322 4,419,161 13,257,484 6,628,742 3,314,371 9,943,114 4,971,557 14,914,672 7,457,336 3,728,668 1,864,334 932,167 2,796,502 1,398,251 4,194,754 2,097,377 6,292,132 3,146,066 1,573,033 4,719,100 2,359,550 1,179,775 3,539,326 1,769,663 5,308,990 2,654,495

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