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Atlas › Integer Profiles › Node 37,040,866

37,040,866

2 × 1709 × 10837
Deficient Even Composite

37,040,866 factors as 2 × 1709 × 10837. Its 8 positive divisors give a proper-divisor sum of 18,558,074, so this integer is deficient. The Collatz stopping time is 51 steps.

Prime Factor Structure

Factorization String 2 × 1709 × 10837
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 55,598,940
Proper Divisor Sum 18,558,074
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #37040863 ← → #37040867

Radix Representation

Decimal 37040866
Binary 10001101010011001011100010 (26 bits)
Octal 0o215231342
Hexadecimal 0x23532E2

Divisor Catalog (8)

1 2 1,709 3,418 10,837 21,674 18,520,433 37,040,866

Collatz Trajectory (51 steps to reach 1)

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

37,040,866 18,520,433 55,561,300 27,780,650 13,890,325 41,670,976 20,835,488 10,417,744 5,208,872 2,604,436 1,302,218 651,109 1,953,328 976,664 488,332 244,166 122,083 366,250 183,125 549,376 274,688 137,344 68,672 34,336 17,168 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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