λ
Modular Archive

422,121

3 × 7 × 20101
Deficient Odd Composite

The decimal integer 422,121 is 1100111000011101001 in binary (19 bits), 1470351 in octal and 670E9 in hexadecimal. Its digit sum is 12.

Prime Factor Structure

Factorization String 3 × 7 × 20101
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 643,264
Proper Divisor Sum 221,143
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #422113 ← → #422129

Radix Representation

Decimal 422121
Binary 1100111000011101001 (19 bits)
Octal 0o1470351
Hexadecimal 0x670E9

Divisor Catalog (8)

1 3 7 21 20,101 60,303 140,707 422,121

Collatz Trajectory (130 steps to reach 1)

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

422,121 1,266,364 633,182 316,591 949,774 474,887 1,424,662 712,331 2,136,994 1,068,497 3,205,492 1,602,746 801,373 2,404,120 1,202,060 601,030 300,515 901,546 450,773 1,352,320 676,160 338,080 169,040 84,520 42,260 21,130 10,565 31,696 15,848 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683

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