58,107

3 × 7 × 2767

58,107 factors as 3 × 7 × 2767. Its 8 positive divisors give a proper-divisor sum of 30,469, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 3 × 7 × 2767

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 88,576

Proper Divisor Sum 30,469

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #58099 ← → #58109

Radix Representation

Decimal	58107
Binary	1110001011111011 (16 bits)
Octal	0o161373
Hexadecimal	0xE2FB

Divisor Catalog (8)

1 3 7 21 2,767 8,301 19,369 58,107

Collatz Trajectory (166 steps to reach 1)

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

58,107 174,322 87,161 261,484 130,742 65,371 196,114 98,057 294,172 147,086 73,543 220,630 110,315 330,946 165,473 496,420 248,210 124,105 372,316 186,158 93,079 279,238 139,619 418,858 209,429 628,288 314,144 157,072 78,536 39,268 19,634 9,817 29,452 14,726 7,363 22,090 11,045 33,136 16,568 8,284 4,142 2,071 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62

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