2,127,593

13 × 163661

Starting at 2,127,593, the Collatz iteration reaches 1 after 334 steps. The first transition is 6382780; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 163661

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,291,268

Proper Divisor Sum 163,675

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2127557 ← → #2127607

Radix Representation

Decimal	2127593
Binary	1000000111011011101001 (22 bits)
Octal	0o10073351
Hexadecimal	0x2076E9

Divisor Catalog (4)

1 13 163,661 2,127,593

Collatz Trajectory (334 steps to reach 1)

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

2,127,593 6,382,780 3,191,390 1,595,695 4,787,086 2,393,543 7,180,630 3,590,315 10,770,946 5,385,473 16,156,420 8,078,210 4,039,105 12,117,316 6,058,658 3,029,329 9,087,988 4,543,994 2,271,997 6,815,992 3,407,996 1,703,998 851,999 2,555,998 1,277,999 3,833,998 1,916,999 5,750,998 2,875,499 8,626,498 4,313,249 12,939,748 6,469,874 3,234,937 9,704,812 4,852,406 2,426,203 7,278,610 3,639,305 10,917,916 5,458,958 2,729,479 8,188,438 4,094,219 12,282,658 6,141,329 18,423,988 9,211,994 4,605,997 13,817,992 6,908,996 3,454,498 1,727,249 5,181,748 2,590,874 1,295,437 3,886,312 1,943,156 971,578 485,789

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