375,830

2 × 5 × 7² × 13 × 59

375,830 has the prime decomposition 2 × 5 × 7^2 × 13 × 59. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 13 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 861,840

Proper Divisor Sum 486,010

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #375799 ← → #375833

Radix Representation

Decimal	375830
Binary	1011011110000010110 (19 bits)
Octal	0o1336026
Hexadecimal	0x5BC16

Divisor Catalog (48)

1 2 5 7 10 13 14 26 35 49 59 65 70 91 98 118 130 182 245 295 413 455 490 590 637 767 826 910 1,274 1,534 2,065 2,891 3,185 3,835 4,130 5,369 5,782 6,370 7,670 10,738 14,455 26,845 28,910 37,583 53,690 75,166 187,915 375,830

Collatz Trajectory (135 steps to reach 1)

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

375,830 187,915 563,746 281,873 845,620 422,810 211,405 634,216 317,108 158,554 79,277 237,832 118,916 59,458 29,729 89,188 44,594 22,297 66,892 33,446 16,723 50,170 25,085 75,256 37,628 18,814 9,407 28,222 14,111 42,334 21,167 63,502 31,751 95,254 47,627 142,882 71,441 214,324 107,162 53,581 160,744 80,372 40,186 20,093 60,280 30,140 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840

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