7,713,135

3² × 5 × 171403

Starting at 7,713,135, the Collatz iteration reaches 1 after 235 steps. The first transition is 23139406; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 171403

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,369,512

Proper Divisor Sum 5,656,377

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7713133 ← → #7713137

Radix Representation

Decimal	7713135
Binary	11101011011000101101111 (23 bits)
Octal	0o35330557
Hexadecimal	0x75B16F

Divisor Catalog (12)

1 3 5 9 15 45 171,403 514,209 857,015 1,542,627 2,571,045 7,713,135

Collatz Trajectory (235 steps to reach 1)

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

7,713,135 23,139,406 11,569,703 34,709,110 17,354,555 52,063,666 26,031,833 78,095,500 39,047,750 19,523,875 58,571,626 29,285,813 87,857,440 43,928,720 21,964,360 10,982,180 5,491,090 2,745,545 8,236,636 4,118,318 2,059,159 6,177,478 3,088,739 9,266,218 4,633,109 13,899,328 6,949,664 3,474,832 1,737,416 868,708 434,354 217,177 651,532 325,766 162,883 488,650 244,325 732,976 366,488 183,244 91,622 45,811 137,434 68,717 206,152 103,076 51,538 25,769 77,308 38,654 19,327 57,982 28,991 86,974 43,487 130,462 65,231 195,694 97,847 293,542

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