7,691,202

2 × 3² × 89 × 4801

Starting at 7,691,202, the Collatz iteration reaches 1 after 186 steps. The first transition is 3845601; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 89 × 4801

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,855,020

Proper Divisor Sum 9,163,818

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7691197 ← → #7691209

Radix Representation

Decimal	7691202
Binary	11101010101101111000010 (23 bits)
Octal	0o35255702
Hexadecimal	0x755BC2

Divisor Catalog (24)

1 2 3 6 9 18 89 178 267 534 801 1,602 4,801 9,602 14,403 28,806 43,209 86,418 427,289 854,578 1,281,867 2,563,734 3,845,601 7,691,202

Collatz Trajectory (186 steps to reach 1)

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

7,691,202 3,845,601 11,536,804 5,768,402 2,884,201 8,652,604 4,326,302 2,163,151 6,489,454 3,244,727 9,734,182 4,867,091 14,601,274 7,300,637 21,901,912 10,950,956 5,475,478 2,737,739 8,213,218 4,106,609 12,319,828 6,159,914 3,079,957 9,239,872 4,619,936 2,309,968 1,154,984 577,492 288,746 144,373 433,120 216,560 108,280 54,140 27,070 13,535 40,606 20,303 60,910 30,455 91,366 45,683 137,050 68,525 205,576 102,788 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788

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