7,530,642

2 × 3² × 7 × 59 × 1013

Starting at 7,530,642, the Collatz iteration reaches 1 after 111 steps. The first transition is 3765321; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 59 × 1013

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,982,080

Proper Divisor Sum 11,451,438

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7530641 ← → #7530671

Radix Representation

Decimal	7530642
Binary	11100101110100010010010 (23 bits)
Octal	0o34564222
Hexadecimal	0x72E892

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 354 413 531 826 1,013 1,062 1,239 2,026 2,478 3,039 3,717 6,078 7,091 7,434 9,117 14,182 18,234 21,273 42,546 59,767 63,819 119,534 127,638 179,301 358,602 418,369 537,903 836,738 1,075,806 1,255,107 2,510,214 3,765,321 7,530,642

Collatz Trajectory (111 steps to reach 1)

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

7,530,642 3,765,321 11,295,964 5,647,982 2,823,991 8,471,974 4,235,987 12,707,962 6,353,981 19,061,944 9,530,972 4,765,486 2,382,743 7,148,230 3,574,115 10,722,346 5,361,173 16,083,520 8,041,760 4,020,880 2,010,440 1,005,220 502,610 251,305 753,916 376,958 188,479 565,438 282,719 848,158 424,079 1,272,238 636,119 1,908,358 954,179 2,862,538 1,431,269 4,293,808 2,146,904 1,073,452 536,726 268,363 805,090 402,545 1,207,636 603,818 301,909 905,728 452,864 226,432 113,216 56,608 28,304 14,152 7,076 3,538 1,769 5,308 2,654 1,327

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