46,546

2 × 17 × 37²

46,546 has digital root 7. The neighboring primes are 46523 and 46549; its proper-divisor sum differs from the starting integer by -17,114.

Prime Factor Structure

Factorization String 2 × 17 × 37^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 75,978

Proper Divisor Sum 29,432

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #46523 ← → #46549

Radix Representation

Decimal	46546
Binary	1011010111010010 (16 bits)
Octal	0o132722
Hexadecimal	0xB5D2

Divisor Catalog (12)

1 2 17 34 37 74 629 1,258 1,369 2,738 23,273 46,546

Collatz Trajectory (83 steps to reach 1)

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

46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981 41,944 20,972 10,486 5,243 15,730 7,865 23,596 11,798 5,899 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296

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