46,713

3 × 23 × 677

46,713 factors as 3 × 23 × 677. Its 8 positive divisors give a proper-divisor sum of 18,375, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3 × 23 × 677

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 65,088

Proper Divisor Sum 18,375

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #46703 ← → #46723

Radix Representation

Decimal	46713
Binary	1011011001111001 (16 bits)
Octal	0o133171
Hexadecimal	0xB679

Divisor Catalog (8)

1 3 23 69 677 2,031 15,571 46,713

Collatz Trajectory (207 steps to reach 1)

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

46,713 140,140 70,070 35,035 105,106 52,553 157,660 78,830 39,415 118,246 59,123 177,370 88,685 266,056 133,028 66,514 33,257 99,772 49,886 24,943 74,830 37,415 112,246 56,123 168,370 84,185 252,556 126,278 63,139 189,418 94,709 284,128 142,064 71,032 35,516 17,758 8,879 26,638 13,319 39,958 19,979 59,938 29,969 89,908 44,954 22,477 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672

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