λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,950,452

36,950,452

22 × 7 × 11 × 17 × 7057
Abundant Even Composite

36,950,452 factors as 2^2 × 7 × 11 × 17 × 7057. Its 48 positive divisors give a proper-divisor sum of 48,423,116, so this integer is abundant. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 17 × 7057
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 85,373,568
Proper Divisor Sum 48,423,116
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #36950449 ← → #36950453

Radix Representation

Decimal 36950452
Binary 10001100111101000110110100 (26 bits)
Octal 0o214750664
Hexadecimal 0x233D1B4

Divisor Catalog (48)

1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1,309 2,618 5,236 7,057 14,114 28,228 49,399 77,627 98,798 119,969 155,254 197,596 239,938 310,508 479,876 543,389 839,783 1,086,778 1,319,659 1,679,566 2,173,556 2,639,318 3,359,132 5,278,636 9,237,613 18,475,226 36,950,452

Collatz Trajectory (240 steps to reach 1)

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

36,950,452 18,475,226 9,237,613 27,712,840 13,856,420 6,928,210 3,464,105 10,392,316 5,196,158 2,598,079 7,794,238 3,897,119 11,691,358 5,845,679 17,537,038 8,768,519 26,305,558 13,152,779 39,458,338 19,729,169 59,187,508 29,593,754 14,796,877 44,390,632 22,195,316 11,097,658 5,548,829 16,646,488 8,323,244 4,161,622 2,080,811 6,242,434 3,121,217 9,363,652 4,681,826 2,340,913 7,022,740 3,511,370 1,755,685 5,267,056 2,633,528 1,316,764 658,382 329,191 987,574 493,787 1,481,362 740,681 2,222,044 1,111,022 555,511 1,666,534 833,267 2,499,802 1,249,901 3,749,704 1,874,852 937,426 468,713 1,406,140

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #36,950,451 Browse Full Index Next Integer #36,950,453 →