λ
Prime Ledger

231,164

22 × 57791
Deficient Even Composite

231,164 has the prime decomposition 2^2 × 57791. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 57791
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 404,544
Proper Divisor Sum 173,380
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #231131 ← → #231169

Radix Representation

Decimal 231164
Binary 111000011011111100 (18 bits)
Octal 0o703374
Hexadecimal 0x386FC

Divisor Catalog (6)

1 2 4 57,791 115,582 231,164

Collatz Trajectory (93 steps to reach 1)

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

231,164 115,582 57,791 173,374 86,687 260,062 130,031 390,094 195,047 585,142 292,571 877,714 438,857 1,316,572 658,286 329,143 987,430 493,715 1,481,146 740,573 2,221,720 1,110,860 555,430 277,715 833,146 416,573 1,249,720 624,860 312,430 156,215 468,646 234,323 702,970 351,485 1,054,456 527,228 263,614 131,807 395,422 197,711 593,134 296,567 889,702 444,851 1,334,554 667,277 2,001,832 1,000,916 500,458 250,229 750,688 375,344 187,672 93,836 46,918 23,459 70,378 35,189 105,568 52,784

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