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Atlas › Integer Profiles › Node 3,677,596

3,677,596

22 × 13 × 197 × 359
Deficient Even Composite

3,677,596 factors as 2^2 × 13 × 197 × 359. Its 24 positive divisors give a proper-divisor sum of 3,307,844, so this integer is deficient. The Collatz stopping time is 309 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 197 × 359
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,985,440
Proper Divisor Sum 3,307,844
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3677591 ← → #3677599

Radix Representation

Decimal 3677596
Binary 1110000001110110011100 (22 bits)
Octal 0o16016634
Hexadecimal 0x381D9C

Divisor Catalog (24)

1 2 4 13 26 52 197 359 394 718 788 1,436 2,561 4,667 5,122 9,334 10,244 18,668 70,723 141,446 282,892 919,399 1,838,798 3,677,596

Collatz Trajectory (309 steps to reach 1)

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

3,677,596 1,838,798 919,399 2,758,198 1,379,099 4,137,298 2,068,649 6,205,948 3,102,974 1,551,487 4,654,462 2,327,231 6,981,694 3,490,847 10,472,542 5,236,271 15,708,814 7,854,407 23,563,222 11,781,611 35,344,834 17,672,417 53,017,252 26,508,626 13,254,313 39,762,940 19,881,470 9,940,735 29,822,206 14,911,103 44,733,310 22,366,655 67,099,966 33,549,983 100,649,950 50,324,975 150,974,926 75,487,463 226,462,390 113,231,195 339,693,586 169,846,793 509,540,380 254,770,190 127,385,095 382,155,286 191,077,643 573,232,930 286,616,465 859,849,396 429,924,698 214,962,349 644,887,048 322,443,524 161,221,762 80,610,881 241,832,644 120,916,322 60,458,161 181,374,484

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