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Atlas › Integer Profiles › Node 20,801,752

20,801,752

23 × 23 × 131 × 863
Deficient Even Composite

20,801,752 factors as 2^3 × 23 × 131 × 863. Its 32 positive divisors give a proper-divisor sum of 20,255,528, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 131 × 863
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 41,057,280
Proper Divisor Sum 20,255,528
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #20801749 ← → #20801773

Radix Representation

Decimal 20801752
Binary 1001111010110100011011000 (25 bits)
Octal 0o117264330
Hexadecimal 0x13D68D8

Divisor Catalog (32)

1 2 4 8 23 46 92 131 184 262 524 863 1,048 1,726 3,013 3,452 6,026 6,904 12,052 19,849 24,104 39,698 79,396 113,053 158,792 226,106 452,212 904,424 2,600,219 5,200,438 10,400,876 20,801,752

Collatz Trajectory (128 steps to reach 1)

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

20,801,752 10,400,876 5,200,438 2,600,219 7,800,658 3,900,329 11,700,988 5,850,494 2,925,247 8,775,742 4,387,871 13,163,614 6,581,807 19,745,422 9,872,711 29,618,134 14,809,067 44,427,202 22,213,601 66,640,804 33,320,402 16,660,201 49,980,604 24,990,302 12,495,151 37,485,454 18,742,727 56,228,182 28,114,091 84,342,274 42,171,137 126,513,412 63,256,706 31,628,353 94,885,060 47,442,530 23,721,265 71,163,796 35,581,898 17,790,949 53,372,848 26,686,424 13,343,212 6,671,606 3,335,803 10,007,410 5,003,705 15,011,116 7,505,558 3,752,779 11,258,338 5,629,169 16,887,508 8,443,754 4,221,877 12,665,632 6,332,816 3,166,408 1,583,204 791,602

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