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Atlas › Integer Profiles › Node 3,694,496

3,694,496

25 × 13 × 83 × 107
Abundant Even Composite

3,694,496 factors as 2^5 × 13 × 83 × 107. Its 48 positive divisors give a proper-divisor sum of 4,307,008, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 83 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,001,504
Proper Divisor Sum 4,307,008
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3694477 ← → #3694499

Radix Representation

Decimal 3694496
Binary 1110000101111110100000 (22 bits)
Octal 0o16057640
Hexadecimal 0x385FA0

Divisor Catalog (48)

1 2 4 8 13 16 26 32 52 83 104 107 166 208 214 332 416 428 664 856 1,079 1,328 1,391 1,712 2,158 2,656 2,782 3,424 4,316 5,564 8,632 8,881 11,128 17,264 17,762 22,256 34,528 35,524 44,512 71,048 115,453 142,096 230,906 284,192 461,812 923,624 1,847,248 3,694,496

Collatz Trajectory (234 steps to reach 1)

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

3,694,496 1,847,248 923,624 461,812 230,906 115,453 346,360 173,180 86,590 43,295 129,886 64,943 194,830 97,415 292,246 146,123 438,370 219,185 657,556 328,778 164,389 493,168 246,584 123,292 61,646 30,823 92,470 46,235 138,706 69,353 208,060 104,030 52,015 156,046 78,023 234,070 117,035 351,106 175,553 526,660 263,330 131,665 394,996 197,498 98,749 296,248 148,124 74,062 37,031 111,094 55,547 166,642 83,321 249,964 124,982 62,491 187,474 93,737 281,212 140,606

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