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Atlas › Integer Profiles › Node 58,905,520

58,905,520

24 × 5 × 41 × 17959
Abundant Even Composite

58,905,520 factors as 2^4 × 5 × 41 × 17959. Its 40 positive divisors give a proper-divisor sum of 81,398,000, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 41 × 17959
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 140,303,520
Proper Divisor Sum 81,398,000
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #58905449 ← → #58905547

Radix Representation

Decimal 58905520
Binary 11100000101101001110110000 (26 bits)
Octal 0o340551660
Hexadecimal 0x382D3B0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1,640 3,280 17,959 35,918 71,836 89,795 143,672 179,590 287,344 359,180 718,360 736,319 1,436,720 1,472,638 2,945,276 3,681,595 5,890,552 7,363,190 11,781,104 14,726,380 29,452,760 58,905,520

Collatz Trajectory (145 steps to reach 1)

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

58,905,520 29,452,760 14,726,380 7,363,190 3,681,595 11,044,786 5,522,393 16,567,180 8,283,590 4,141,795 12,425,386 6,212,693 18,638,080 9,319,040 4,659,520 2,329,760 1,164,880 582,440 291,220 145,610 72,805 218,416 109,208 54,604 27,302 13,651 40,954 20,477 61,432 30,716 15,358 7,679 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279

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