λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,802,410

37,802,410

2 × 5 × 41 × 137 × 673
Deficient Even Composite

37,802,410 factors as 2 × 5 × 41 × 137 × 673. Its 32 positive divisors give a proper-divisor sum of 32,514,662, so this integer is deficient. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2 × 5 × 41 × 137 × 673
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 70,317,072
Proper Divisor Sum 32,514,662
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #37802377 ← → #37802411

Radix Representation

Decimal 37802410
Binary 10010000001101000110101010 (26 bits)
Octal 0o220150652
Hexadecimal 0x240D1AA

Divisor Catalog (32)

1 2 5 10 41 82 137 205 274 410 673 685 1,346 1,370 3,365 5,617 6,730 11,234 27,593 28,085 55,186 56,170 92,201 137,965 184,402 275,930 461,005 922,010 3,780,241 7,560,482 18,901,205 37,802,410

Collatz Trajectory (59 steps to reach 1)

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

37,802,410 18,901,205 56,703,616 28,351,808 14,175,904 7,087,952 3,543,976 1,771,988 885,994 442,997 1,328,992 664,496 332,248 166,124 83,062 41,531 124,594 62,297 186,892 93,446 46,723 140,170 70,085 210,256 105,128 52,564 26,282 13,141 39,424 19,712 9,856 4,928 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #37,802,409 Browse Full Index Next Integer #37,802,411 →