253,342

2 × 197 × 643

Starting at 253,342, the Collatz iteration reaches 1 after 225 steps. The first transition is 126671; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 197 × 643

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 382,536

Proper Divisor Sum 129,194

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #253321 ← → #253343

Radix Representation

Decimal	253342
Binary	111101110110011110 (18 bits)
Octal	0o756636
Hexadecimal	0x3DD9E

Divisor Catalog (8)

1 2 197 394 643 1,286 126,671 253,342

Collatz Trajectory (225 steps to reach 1)

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

253,342 126,671 380,014 190,007 570,022 285,011 855,034 427,517 1,282,552 641,276 320,638 160,319 480,958 240,479 721,438 360,719 1,082,158 541,079 1,623,238 811,619 2,434,858 1,217,429 3,652,288 1,826,144 913,072 456,536 228,268 114,134 57,067 171,202 85,601 256,804 128,402 64,201 192,604 96,302 48,151 144,454 72,227 216,682 108,341 325,024 162,512 81,256 40,628 20,314 10,157 30,472 15,236 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646

← Previous Integer #253,341 Browse Full Index Next Integer #253,343 →