231,012

2² × 3⁴ × 23 × 31

231,012 has the prime decomposition 2^2 × 3^4 × 23 × 31. Its 4 distinct prime factors produce 60 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 23 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 650,496

Proper Divisor Sum 419,484

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #231001 ← → #231017

Radix Representation

Decimal	231012
Binary	111000011001100100 (18 bits)
Octal	0o703144
Hexadecimal	0x38664

Divisor Catalog (60)

1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 81 92 93 108 124 138 162 186 207 276 279 324 372 414 558 621 713 828 837 1,116 1,242 1,426 1,674 1,863 2,139 2,484 2,511 2,852 3,348 3,726 4,278 5,022 6,417 7,452 8,556 10,044 12,834 19,251 25,668 38,502 57,753 77,004 115,506 231,012

Collatz Trajectory (49 steps to reach 1)

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

231,012 115,506 57,753 173,260 86,630 43,315 129,946 64,973 194,920 97,460 48,730 24,365 73,096 36,548 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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