9,582,228

2² × 3² × 179 × 1487

Starting at 9,582,228, the Collatz iteration reaches 1 after 194 steps. The first transition is 4791114; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 179 × 1487

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 24,373,440

Proper Divisor Sum 14,791,212

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9582197 ← → #9582229

Radix Representation

Decimal	9582228
Binary	100100100011011010010100 (24 bits)
Octal	0o44433224
Hexadecimal	0x923694

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 179 358 537 716 1,074 1,487 1,611 2,148 2,974 3,222 4,461 5,948 6,444 8,922 13,383 17,844 26,766 53,532 266,173 532,346 798,519 1,064,692 1,597,038 2,395,557 3,194,076 4,791,114 9,582,228

Collatz Trajectory (194 steps to reach 1)

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

9,582,228 4,791,114 2,395,557 7,186,672 3,593,336 1,796,668 898,334 449,167 1,347,502 673,751 2,021,254 1,010,627 3,031,882 1,515,941 4,547,824 2,273,912 1,136,956 568,478 284,239 852,718 426,359 1,279,078 639,539 1,918,618 959,309 2,877,928 1,438,964 719,482 359,741 1,079,224 539,612 269,806 134,903 404,710 202,355 607,066 303,533 910,600 455,300 227,650 113,825 341,476 170,738 85,369 256,108 128,054 64,027 192,082 96,041 288,124 144,062 72,031 216,094 108,047 324,142 162,071 486,214 243,107 729,322 364,661

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