λ
Modular Archive

1,221,000

23 × 3 × 53 × 11 × 37
Abundant Even Composite

The decimal integer 1,221,000 is 100101010000110001000 in binary (21 bits), 4520610 in octal and 12A188 in hexadecimal. Its digit sum is 6.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^3 × 11 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 4,268,160
Proper Divisor Sum 3,047,160
Digit Sum / Digital Root 6 (Root: 6)
Adjacent Primes #1220993 ← → #1221019

Radix Representation

Decimal 1221000
Binary 100101010000110001000 (21 bits)
Octal 0o4520610
Hexadecimal 0x12A188

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 37 40 44 50 55 60 66 74 75 88 100 110 111 120 125 132 148 150 165 185 200 220 222 250 264 275 296 300 330 370 375 407 440 444 500 550 555 600 660 740 750 814 825

Collatz Trajectory (59 steps to reach 1)

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

1,221,000 610,500 305,250 152,625 457,876 228,938 114,469 343,408 171,704 85,852 42,926 21,463 64,390 32,195 96,586 48,293 144,880 72,440 36,220 18,110 9,055 27,166 13,583 40,750 20,375 61,126 30,563 91,690 45,845 137,536 68,768 34,384 17,192 8,596 4,298 2,149 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

← Previous Integer #1,220,999 Browse Full Index Next Integer #1,221,001 →