λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,033,804

36,033,804

22 × 32 × 19 × 139 × 379
Abundant Even Composite

36,033,804 factors as 2^2 × 3^2 × 19 × 139 × 379. Its 72 positive divisors give a proper-divisor sum of 60,790,196, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 19 × 139 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 96,824,000
Proper Divisor Sum 60,790,196
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #36033787 ← → #36033821

Radix Representation

Decimal 36033804
Binary 10001001011101010100001100 (26 bits)
Octal 0o211352414
Hexadecimal 0x225D50C

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 19 36 38 57 76 114 139 171 228 278 342 379 417 556 684 758 834 1,137 1,251 1,516 1,668 2,274 2,502 2,641 3,411 4,548 5,004 5,282 6,822 7,201 7,923 10,564 13,644 14,402 15,846 21,603 23,769 28,804 31,692 43,206 47,538 52,681 64,809 86,412 95,076 105,362 129,618 158,043 210,724 259,236 316,086 474,129

Collatz Trajectory (95 steps to reach 1)

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

36,033,804 18,016,902 9,008,451 27,025,354 13,512,677 40,538,032 20,269,016 10,134,508 5,067,254 2,533,627 7,600,882 3,800,441 11,401,324 5,700,662 2,850,331 8,550,994 4,275,497 12,826,492 6,413,246 3,206,623 9,619,870 4,809,935 14,429,806 7,214,903 21,644,710 10,822,355 32,467,066 16,233,533 48,700,600 24,350,300 12,175,150 6,087,575 18,262,726 9,131,363 27,394,090 13,697,045 41,091,136 20,545,568 10,272,784 5,136,392 2,568,196 1,284,098 642,049 1,926,148 963,074 481,537 1,444,612 722,306 361,153 1,083,460 541,730 270,865 812,596 406,298 203,149 609,448 304,724 152,362 76,181 228,544

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #36,033,803 Browse Full Index Next Integer #36,033,805 →