58,251

3 × 19417

58,251 factors as 3 × 19417. Its 4 positive divisors give a proper-divisor sum of 19,421, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 3 × 19417

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 77,672

Proper Divisor Sum 19,421

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #58243 ← → #58271

Radix Representation

Decimal	58251
Binary	1110001110001011 (16 bits)
Octal	0o161613
Hexadecimal	0xE38B

Divisor Catalog (4)

1 3 19,417 58,251

Collatz Trajectory (166 steps to reach 1)

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

58,251 174,754 87,377 262,132 131,066 65,533 196,600 98,300 49,150 24,575 73,726 36,863 110,590 55,295 165,886 82,943 248,830 124,415 373,246 186,623 559,870 279,935 839,806 419,903 1,259,710 629,855 1,889,566 944,783 2,834,350 1,417,175 4,251,526 2,125,763 6,377,290 3,188,645 9,565,936 4,782,968 2,391,484 1,195,742 597,871 1,793,614 896,807 2,690,422 1,345,211 4,035,634 2,017,817 6,053,452 3,026,726 1,513,363 4,540,090 2,270,045 6,810,136 3,405,068 1,702,534 851,267 2,553,802 1,276,901 3,830,704 1,915,352 957,676 478,838

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