λ
Modular Archive

8,676,000

25 × 32 × 53 × 241
Abundant Even Composite

The decimal integer 8,676,000 is 100001000110001010100000 in binary (24 bits), 41061240 in octal and 8462A0 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^3 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 30,918,888
Proper Divisor Sum 22,242,888
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8675923 ← → #8676013

Radix Representation

Decimal 8676000
Binary 100001000110001010100000 (24 bits)
Octal 0o41061240
Hexadecimal 0x8462A0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 241 250 288 300 360 375 400 450 480 482 500 600 720 723 750 800 900 964 1,000 1,125 1,200

Collatz Trajectory (67 steps to reach 1)

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

8,676,000 4,338,000 2,169,000 1,084,500 542,250 271,125 813,376 406,688 203,344 101,672 50,836 25,418 12,709 38,128 19,064 9,532 4,766 2,383 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256

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