46,059

3 × 13 × 1181

For 46,059, the 8 positive divisors have a total of 66,192. Removing 46,059 leaves 20,133, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 13 × 1181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 66,192

Proper Divisor Sum 20,133

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #46051 ← → #46061

Radix Representation

Decimal	46059
Binary	1011001111101011 (16 bits)
Octal	0o131753
Hexadecimal	0xB3EB

Divisor Catalog (8)

1 3 13 39 1,181 3,543 15,353 46,059

Collatz Trajectory (132 steps to reach 1)

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

46,059 138,178 69,089 207,268 103,634 51,817 155,452 77,726 38,863 116,590 58,295 174,886 87,443 262,330 131,165 393,496 196,748 98,374 49,187 147,562 73,781 221,344 110,672 55,336 27,668 13,834 6,917 20,752 10,376 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

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