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Atlas › Integer Profiles › Node 46,065,136

46,065,136

24 × 13 × 23 × 9629
Abundant Even Composite

46,065,136 factors as 2^4 × 13 × 23 × 9629. Its 40 positive divisors give a proper-divisor sum of 54,240,944, so this integer is abundant. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 23 × 9629
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 100,306,080
Proper Divisor Sum 54,240,944
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #46065133 ← → #46065157

Radix Representation

Decimal 46065136
Binary 10101111101110010111110000 (26 bits)
Octal 0o257562760
Hexadecimal 0x2BEE5F0

Divisor Catalog (40)

1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1,196 2,392 4,784 9,629 19,258 38,516 77,032 125,177 154,064 221,467 250,354 442,934 500,708 885,868 1,001,416 1,771,736 2,002,832 2,879,071 3,543,472 5,758,142 11,516,284 23,032,568 46,065,136

Collatz Trajectory (248 steps to reach 1)

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

46,065,136 23,032,568 11,516,284 5,758,142 2,879,071 8,637,214 4,318,607 12,955,822 6,477,911 19,433,734 9,716,867 29,150,602 14,575,301 43,725,904 21,862,952 10,931,476 5,465,738 2,732,869 8,198,608 4,099,304 2,049,652 1,024,826 512,413 1,537,240 768,620 384,310 192,155 576,466 288,233 864,700 432,350 216,175 648,526 324,263 972,790 486,395 1,459,186 729,593 2,188,780 1,094,390 547,195 1,641,586 820,793 2,462,380 1,231,190 615,595 1,846,786 923,393 2,770,180 1,385,090 692,545 2,077,636 1,038,818 519,409 1,558,228 779,114 389,557 1,168,672 584,336 292,168

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