λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,536,268

37,536,268

22 × 7 × 11 × 47 × 2593
Abundant Even Composite

37,536,268 factors as 2^2 × 7 × 11 × 47 × 2593. Its 48 positive divisors give a proper-divisor sum of 46,135,796, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 47 × 2593
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 83,672,064
Proper Divisor Sum 46,135,796
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #37536263 ← → #37536269

Radix Representation

Decimal 37536268
Binary 10001111001100001000001100 (26 bits)
Octal 0o217141014
Hexadecimal 0x23CC20C

Divisor Catalog (48)

1 2 4 7 11 14 22 28 44 47 77 94 154 188 308 329 517 658 1,034 1,316 2,068 2,593 3,619 5,186 7,238 10,372 14,476 18,151 28,523 36,302 57,046 72,604 114,092 121,871 199,661 243,742 399,322 487,484 798,644 853,097 1,340,581 1,706,194 2,681,162 3,412,388 5,362,324 9,384,067 18,768,134 37,536,268

Collatz Trajectory (227 steps to reach 1)

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

37,536,268 18,768,134 9,384,067 28,152,202 14,076,101 42,228,304 21,114,152 10,557,076 5,278,538 2,639,269 7,917,808 3,958,904 1,979,452 989,726 494,863 1,484,590 742,295 2,226,886 1,113,443 3,340,330 1,670,165 5,010,496 2,505,248 1,252,624 626,312 313,156 156,578 78,289 234,868 117,434 58,717 176,152 88,076 44,038 22,019 66,058 33,029 99,088 49,544 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #37,536,267 Browse Full Index Next Integer #37,536,269 →