136,476

2² × 3² × 17 × 223

136,476 factors as 2^2 × 3^2 × 17 × 223. Its 36 positive divisors give a proper-divisor sum of 230,436, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 366,912

Proper Divisor Sum 230,436

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #136471 ← → #136481

Radix Representation

Decimal	136476
Binary	100001010100011100 (18 bits)
Octal	0o412434
Hexadecimal	0x2151C

Divisor Catalog (36)

1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 223 306 446 612 669 892 1,338 2,007 2,676 3,791 4,014 7,582 8,028 11,373 15,164 22,746 34,119 45,492 68,238 136,476

Collatz Trajectory (193 steps to reach 1)

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

136,476 68,238 34,119 102,358 51,179 153,538 76,769 230,308 115,154 57,577 172,732 86,366 43,183 129,550 64,775 194,326 97,163 291,490 145,745 437,236 218,618 109,309 327,928 163,964 81,982 40,991 122,974 61,487 184,462 92,231 276,694 138,347 415,042 207,521 622,564 311,282 155,641 466,924 233,462 116,731 350,194 175,097 525,292 262,646 131,323 393,970 196,985 590,956 295,478 147,739 443,218 221,609 664,828 332,414 166,207 498,622 249,311 747,934 373,967 1,121,902

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