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Atlas › Integer Profiles › Node 46,079,320

46,079,320

23 × 5 × 7 × 164569
Abundant Even Composite

46,079,320 factors as 2^3 × 5 × 7 × 164569. Its 32 positive divisors give a proper-divisor sum of 72,411,080, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 164569
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 118,490,400
Proper Divisor Sum 72,411,080
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #46079287 ← → #46079353

Radix Representation

Decimal 46079320
Binary 10101111110001110101011000 (26 bits)
Octal 0o257616530
Hexadecimal 0x2BF1D58

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 164,569 329,138 658,276 822,845 1,151,983 1,316,552 1,645,690 2,303,966 3,291,380 4,607,932 5,759,915 6,582,760 9,215,864 11,519,830 23,039,660 46,079,320

Collatz Trajectory (98 steps to reach 1)

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

46,079,320 23,039,660 11,519,830 5,759,915 17,279,746 8,639,873 25,919,620 12,959,810 6,479,905 19,439,716 9,719,858 4,859,929 14,579,788 7,289,894 3,644,947 10,934,842 5,467,421 16,402,264 8,201,132 4,100,566 2,050,283 6,150,850 3,075,425 9,226,276 4,613,138 2,306,569 6,919,708 3,459,854 1,729,927 5,189,782 2,594,891 7,784,674 3,892,337 11,677,012 5,838,506 2,919,253 8,757,760 4,378,880 2,189,440 1,094,720 547,360 273,680 136,840 68,420 34,210 17,105 51,316 25,658 12,829 38,488 19,244 9,622 4,811 14,434 7,217 21,652 10,826 5,413 16,240 8,120

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