λ
Modular Archive

144,420

22 × 3 × 5 × 29 × 83
Abundant Even Composite

The decimal integer 144,420 is 100011010000100100 in binary (18 bits), 432044 in octal and 23424 in hexadecimal. Its digit sum is 15.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 29 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 423,360
Proper Divisor Sum 278,940
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #144413 ← → #144427

Radix Representation

Decimal 144420
Binary 100011010000100100 (18 bits)
Octal 0o432044
Hexadecimal 0x23424

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 29 30 58 60 83 87 116 145 166 174 249 290 332 348 415 435 498 580 830 870 996 1,245 1,660 1,740 2,407 2,490 4,814 4,980 7,221 9,628 12,035 14,442 24,070 28,884 36,105 48,140 72,210 144,420

Collatz Trajectory (157 steps to reach 1)

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

144,420 72,210 36,105 108,316 54,158 27,079 81,238 40,619 121,858 60,929 182,788 91,394 45,697 137,092 68,546 34,273 102,820 51,410 25,705 77,116 38,558 19,279 57,838 28,919 86,758 43,379 130,138 65,069 195,208 97,604 48,802 24,401 73,204 36,602 18,301 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987

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