127,621

13 × 9817

Starting at 127,621, the Collatz iteration reaches 1 after 162 steps. The first transition is 382864; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 9817

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 137,452

Proper Divisor Sum 9,831

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #127609 ← → #127637

Radix Representation

Decimal	127621
Binary	11111001010000101 (17 bits)
Octal	0o371205
Hexadecimal	0x1F285

Divisor Catalog (4)

1 13 9,817 127,621

Collatz Trajectory (162 steps to reach 1)

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

127,621 382,864 191,432 95,716 47,858 23,929 71,788 35,894 17,947 53,842 26,921 80,764 40,382 20,191 60,574 30,287 90,862 45,431 136,294 68,147 204,442 102,221 306,664 153,332 76,666 38,333 115,000 57,500 28,750 14,375 43,126 21,563 64,690 32,345 97,036 48,518 24,259 72,778 36,389 109,168 54,584 27,292 13,646 6,823 20,470 10,235 30,706 15,353 46,060 23,030 11,515 34,546 17,273 51,820 25,910 12,955 38,866 19,433 58,300 29,150

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