λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,436,704

37,436,704

25 × 109 × 10733
Deficient Even Composite

37,436,704 factors as 2^5 × 109 × 10733. Its 24 positive divisors give a proper-divisor sum of 36,949,916, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^5 × 109 × 10733
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 74,386,620
Proper Divisor Sum 36,949,916
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #37436701 ← → #37436713

Radix Representation

Decimal 37436704
Binary 10001110110011110100100000 (26 bits)
Octal 0o216636440
Hexadecimal 0x23B3D20

Divisor Catalog (24)

1 2 4 8 16 32 109 218 436 872 1,744 3,488 10,733 21,466 42,932 85,864 171,728 343,456 1,169,897 2,339,794 4,679,588 9,359,176 18,718,352 37,436,704

Collatz Trajectory (152 steps to reach 1)

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

37,436,704 18,718,352 9,359,176 4,679,588 2,339,794 1,169,897 3,509,692 1,754,846 877,423 2,632,270 1,316,135 3,948,406 1,974,203 5,922,610 2,961,305 8,883,916 4,441,958 2,220,979 6,662,938 3,331,469 9,994,408 4,997,204 2,498,602 1,249,301 3,747,904 1,873,952 936,976 468,488 234,244 117,122 58,561 175,684 87,842 43,921 131,764 65,882 32,941 98,824 49,412 24,706 12,353 37,060 18,530 9,265 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #37,436,703 Browse Full Index Next Integer #37,436,705 →