2⁶ × 3⁶

Prime Factor Structure

Factorization String 2^6 × 3^6

Distinct Prime Factors 2

Square Status Yes (√46656 = 216)

Abundance Measure Abundant

Analytical Properties

Total Divisors 49

Divisor Sum (σ) 138,811

Proper Divisor Sum 92,155

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #46649 ← → #46663

Radix Representation

Decimal	46656
Binary	1011011001000000 (16 bits)
Octal	0o133100
Hexadecimal	0xB640

Divisor Catalog (49)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1,296 1,458 1,728 1,944 2,592 2,916 3,888 5,184 5,832 7,776 11,664 15,552 23,328 46,656

Collatz Trajectory (39 steps to reach 1)

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

46,656 23,328 11,664 5,832 2,916 1,458 729 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #46,655 Browse Full Index Next Integer #46,657 →