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Atlas › Integer Profiles › Node 3,696,672

3,696,672

25 × 3 × 7 × 5501
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 5501
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,092,032
Proper Divisor Sum 7,395,360
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3696643 ← → #3696703

Radix Representation

Decimal 3696672
Binary 1110000110100000100000 (22 bits)
Octal 0o16064040
Hexadecimal 0x386820

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5,501 11,002 16,503 22,004 33,006 38,507 44,008 66,012 77,014 88,016 115,521 132,024 154,028 176,032 231,042 264,048 308,056 462,084 528,096 616,112 924,168 1,232,224 1,848,336 3,696,672

Collatz Trajectory (53 steps to reach 1)

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

3,696,672 1,848,336 924,168 462,084 231,042 115,521 346,564 173,282 86,641 259,924 129,962 64,981 194,944 97,472 48,736 24,368 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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