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Atlas › Integer Profiles › Node 46,728,672

46,728,672

25 × 3 × 486757
Abundant Even Composite

46,728,672 factors as 2^5 × 3 × 486757. Its 24 positive divisors give a proper-divisor sum of 75,934,344, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 486757
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 122,663,016
Proper Divisor Sum 75,934,344
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #46728641 ← → #46728673

Radix Representation

Decimal 46728672
Binary 10110010010000010111100000 (26 bits)
Octal 0o262202740
Hexadecimal 0x2C905E0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 486,757 973,514 1,460,271 1,947,028 2,920,542 3,894,056 5,841,084 7,788,112 11,682,168 15,576,224 23,364,336 46,728,672

Collatz Trajectory (204 steps to reach 1)

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

46,728,672 23,364,336 11,682,168 5,841,084 2,920,542 1,460,271 4,380,814 2,190,407 6,571,222 3,285,611 9,856,834 4,928,417 14,785,252 7,392,626 3,696,313 11,088,940 5,544,470 2,772,235 8,316,706 4,158,353 12,475,060 6,237,530 3,118,765 9,356,296 4,678,148 2,339,074 1,169,537 3,508,612 1,754,306 877,153 2,631,460 1,315,730 657,865 1,973,596 986,798 493,399 1,480,198 740,099 2,220,298 1,110,149 3,330,448 1,665,224 832,612 416,306 208,153 624,460 312,230 156,115 468,346 234,173 702,520 351,260 175,630 87,815 263,446 131,723 395,170 197,585 592,756 296,378

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