234,484

2² × 31² × 61

234,484 factors as 2^2 × 31^2 × 61. Its 18 positive divisors give a proper-divisor sum of 196,478, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 31^2 × 61

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 430,962

Proper Divisor Sum 196,478

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #234473 ← → #234499

Radix Representation

Decimal	234484
Binary	111001001111110100 (18 bits)
Octal	0o711764
Hexadecimal	0x393F4

Divisor Catalog (18)

1 2 4 31 61 62 122 124 244 961 1,891 1,922 3,782 3,844 7,564 58,621 117,242 234,484

Collatz Trajectory (106 steps to reach 1)

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

234,484 117,242 58,621 175,864 87,932 43,966 21,983 65,950 32,975 98,926 49,463 148,390 74,195 222,586 111,293 333,880 166,940 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713 89,140 44,570 22,285 66,856 33,428 16,714 8,357 25,072 12,536 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930

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