58,170

2 × 3 × 5 × 7 × 277

58,170 factors as 2 × 3 × 5 × 7 × 277. Its 32 positive divisors give a proper-divisor sum of 101,958, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 277

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 160,128

Proper Divisor Sum 101,958

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #58169 ← → #58171

Radix Representation

Decimal	58170
Binary	1110001100111010 (16 bits)
Octal	0o161472
Hexadecimal	0xE33A

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 277 554 831 1,385 1,662 1,939 2,770 3,878 4,155 5,817 8,310 9,695 11,634 19,390 29,085 58,170

Collatz Trajectory (166 steps to reach 1)

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

58,170 29,085 87,256 43,628 21,814 10,907 32,722 16,361 49,084 24,542 12,271 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372 3,686 1,843 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376

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