8,500,045

5 × 29 × 31² × 61

8,500,045 has the prime decomposition 5 × 29 × 31^2 × 61. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 5 × 29 × 31^2 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,081,880

Proper Divisor Sum 2,581,835

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8500027 ← → #8500057

Radix Representation

Decimal	8500045
Binary	100000011011001101001101 (24 bits)
Octal	0o40331515
Hexadecimal	0x81B34D

Divisor Catalog (24)

1 5 29 31 61 145 155 305 899 961 1,769 1,891 4,495 4,805 8,845 9,455 27,869 54,839 58,621 139,345 274,195 293,105 1,700,009 8,500,045

Collatz Trajectory (243 steps to reach 1)

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

8,500,045 25,500,136 12,750,068 6,375,034 3,187,517 9,562,552 4,781,276 2,390,638 1,195,319 3,585,958 1,792,979 5,378,938 2,689,469 8,068,408 4,034,204 2,017,102 1,008,551 3,025,654 1,512,827 4,538,482 2,269,241 6,807,724 3,403,862 1,701,931 5,105,794 2,552,897 7,658,692 3,829,346 1,914,673 5,744,020 2,872,010 1,436,005 4,308,016 2,154,008 1,077,004 538,502 269,251 807,754 403,877 1,211,632 605,816 302,908 151,454 75,727 227,182 113,591 340,774 170,387 511,162 255,581 766,744 383,372 191,686 95,843 287,530 143,765 431,296 215,648 107,824 53,912

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