637,091

7 × 13 × 7001

637,091 factors as 7 × 13 × 7001. Its 8 positive divisors give a proper-divisor sum of 147,133, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 7 × 13 × 7001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 784,224

Proper Divisor Sum 147,133

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #637079 ← → #637097

Radix Representation

Decimal	637091
Binary	10011011100010100011 (20 bits)
Octal	0o2334243
Hexadecimal	0x9B8A3

Divisor Catalog (8)

1 7 13 91 7,001 49,007 91,013 637,091

Collatz Trajectory (84 steps to reach 1)

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

637,091 1,911,274 955,637 2,866,912 1,433,456 716,728 358,364 179,182 89,591 268,774 134,387 403,162 201,581 604,744 302,372 151,186 75,593 226,780 113,390 56,695 170,086 85,043 255,130 127,565 382,696 191,348 95,674 47,837 143,512 71,756 35,878 17,939 53,818 26,909 80,728 40,364 20,182 10,091 30,274 15,137 45,412 22,706 11,353 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043

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