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Atlas › Integer Profiles › Node 46,513,024

46,513,024

27 × 41 × 8863
Abundant Even Composite

46,513,024 factors as 2^7 × 41 × 8863. Its 32 positive divisors give a proper-divisor sum of 48,420,416, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^7 × 41 × 8863
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 94,933,440
Proper Divisor Sum 48,420,416
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #46512979 ← → #46513039

Radix Representation

Decimal 46513024
Binary 10110001011011101110000000 (26 bits)
Octal 0o261335600
Hexadecimal 0x2C5BB80

Divisor Catalog (32)

1 2 4 8 16 32 41 64 82 128 164 328 656 1,312 2,624 5,248 8,863 17,726 35,452 70,904 141,808 283,616 363,383 567,232 726,766 1,134,464 1,453,532 2,907,064 5,814,128 11,628,256 23,256,512 46,513,024

Collatz Trajectory (173 steps to reach 1)

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

46,513,024 23,256,512 11,628,256 5,814,128 2,907,064 1,453,532 726,766 363,383 1,090,150 545,075 1,635,226 817,613 2,452,840 1,226,420 613,210 306,605 919,816 459,908 229,954 114,977 344,932 172,466 86,233 258,700 129,350 64,675 194,026 97,013 291,040 145,520 72,760 36,380 18,190 9,095 27,286 13,643 40,930 20,465 61,396 30,698 15,349 46,048 23,024 11,512 5,756 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201

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