7,207,583

223 × 32321

Starting at 7,207,583, the Collatz iteration reaches 1 after 235 steps. The first transition is 21622750; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 223 × 32321

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,240,128

Proper Divisor Sum 32,545

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7207561 ← → #7207597

Radix Representation

Decimal	7207583
Binary	11011011111101010011111 (23 bits)
Octal	0o33375237
Hexadecimal	0x6DFA9F

Divisor Catalog (4)

1 223 32,321 7,207,583

Collatz Trajectory (235 steps to reach 1)

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

7,207,583 21,622,750 10,811,375 32,434,126 16,217,063 48,651,190 24,325,595 72,976,786 36,488,393 109,465,180 54,732,590 27,366,295 82,098,886 41,049,443 123,148,330 61,574,165 184,722,496 92,361,248 46,180,624 23,090,312 11,545,156 5,772,578 2,886,289 8,658,868 4,329,434 2,164,717 6,494,152 3,247,076 1,623,538 811,769 2,435,308 1,217,654 608,827 1,826,482 913,241 2,739,724 1,369,862 684,931 2,054,794 1,027,397 3,082,192 1,541,096 770,548 385,274 192,637 577,912 288,956 144,478 72,239 216,718 108,359 325,078 162,539 487,618 243,809 731,428 365,714 182,857 548,572 274,286

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