λ
Integer Codex

730,640

24 × 5 × 9133
Abundant Even Composite

For 730,640, the 20 positive divisors have a total of 1,698,924. Removing 730,640 leaves 968,284, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 5 × 9133
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 1,698,924
Proper Divisor Sum 968,284
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #730637 ← → #730663

Radix Representation

Decimal 730640
Binary 10110010011000010000 (20 bits)
Octal 0o2623020
Hexadecimal 0xB2610

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 9,133 18,266 36,532 45,665 73,064 91,330 146,128 182,660 365,320 730,640

Collatz Trajectory (74 steps to reach 1)

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

730,640 365,320 182,660 91,330 45,665 136,996 68,498 34,249 102,748 51,374 25,687 77,062 38,531 115,594 57,797 173,392 86,696 43,348 21,674 10,837 32,512 16,256 8,128 4,064 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22

More profiles

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