λ
Sigma Notebook

3,677,437

31 × 313 × 379
Deficient Odd Composite

3,677,437 is odd and not a perfect square. Its factorization is 31 × 313 × 379 and its 8 divisors sum to 3,818,240.

Prime Factor Structure

Factorization String 31 × 313 × 379
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,818,240
Proper Divisor Sum 140,803
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3677383 ← → #3677441

Radix Representation

Decimal 3677437
Binary 1110000001110011111101 (22 bits)
Octal 0o16016375
Hexadecimal 0x381CFD

Divisor Catalog (8)

1 31 313 379 9,703 11,749 118,627 3,677,437

Collatz Trajectory (110 steps to reach 1)

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

3,677,437 11,032,312 5,516,156 2,758,078 1,379,039 4,137,118 2,068,559 6,205,678 3,102,839 9,308,518 4,654,259 13,962,778 6,981,389 20,944,168 10,472,084 5,236,042 2,618,021 7,854,064 3,927,032 1,963,516 981,758 490,879 1,472,638 736,319 2,208,958 1,104,479 3,313,438 1,656,719 4,970,158 2,485,079 7,455,238 3,727,619 11,182,858 5,591,429 16,774,288 8,387,144 4,193,572 2,096,786 1,048,393 3,145,180 1,572,590 786,295 2,358,886 1,179,443 3,538,330 1,769,165 5,307,496 2,653,748 1,326,874 663,437 1,990,312 995,156 497,578 248,789 746,368 373,184 186,592 93,296 46,648 23,324

More profiles

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