λ
Ratio Atlas
Atlas › Integer Profiles › Node 46,036,639

46,036,639

11 × 19 × 23 × 61 × 157
Deficient Odd Composite

46,036,639 factors as 11 × 19 × 23 × 61 × 157. Its 32 positive divisors give a proper-divisor sum of 10,388,321, so this integer is deficient. The Collatz stopping time is 354 steps.

Prime Factor Structure

Factorization String 11 × 19 × 23 × 61 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 56,424,960
Proper Divisor Sum 10,388,321
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #46036637 ← → #46036673

Radix Representation

Decimal 46036639
Binary 10101111100111011010011111 (26 bits)
Octal 0o257473237
Hexadecimal 0x2BE769F

Divisor Catalog (32)

1 11 19 23 61 157 209 253 437 671 1,159 1,403 1,727 2,983 3,611 4,807 9,577 12,749 15,433 26,657 32,813 39,721 68,609 105,347 181,963 220,271 293,227 754,699 2,001,593 2,422,981 4,185,149 46,036,639

Collatz Trajectory (354 steps to reach 1)

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

46,036,639 138,109,918 69,054,959 207,164,878 103,582,439 310,747,318 155,373,659 466,120,978 233,060,489 699,181,468 349,590,734 174,795,367 524,386,102 262,193,051 786,579,154 393,289,577 1,179,868,732 589,934,366 294,967,183 884,901,550 442,450,775 1,327,352,326 663,676,163 1,991,028,490 995,514,245 2,986,542,736 1,493,271,368 746,635,684 373,317,842 186,658,921 559,976,764 279,988,382 139,994,191 419,982,574 209,991,287 629,973,862 314,986,931 944,960,794 472,480,397 1,417,441,192 708,720,596 354,360,298 177,180,149 531,540,448 265,770,224 132,885,112 66,442,556 33,221,278 16,610,639 49,831,918 24,915,959 74,747,878 37,373,939 112,121,818 56,060,909 168,182,728 84,091,364 42,045,682 21,022,841 63,068,524

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