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Atlas › Integer Profiles › Node 20,947,072

20,947,072

27 × 31 × 5279
Abundant Even Composite

20,947,072 factors as 2^7 × 31 × 5279. Its 32 positive divisors give a proper-divisor sum of 22,137,728, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^7 × 31 × 5279
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 43,084,800
Proper Divisor Sum 22,137,728
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #20947061 ← → #20947079

Radix Representation

Decimal 20947072
Binary 1001111111010000010000000 (25 bits)
Octal 0o117720200
Hexadecimal 0x13FA080

Divisor Catalog (32)

1 2 4 8 16 31 32 62 64 124 128 248 496 992 1,984 3,968 5,279 10,558 21,116 42,232 84,464 163,649 168,928 327,298 337,856 654,596 675,712 1,309,192 2,618,384 5,236,768 10,473,536 20,947,072

Collatz Trajectory (146 steps to reach 1)

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

20,947,072 10,473,536 5,236,768 2,618,384 1,309,192 654,596 327,298 163,649 490,948 245,474 122,737 368,212 184,106 92,053 276,160 138,080 69,040 34,520 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103

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