2,799,309

3 × 37 × 25219

Starting at 2,799,309, the Collatz iteration reaches 1 after 107 steps. The first transition is 8397928; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 25219

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,833,440

Proper Divisor Sum 1,034,131

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #2799299 ← → #2799361

Radix Representation

Decimal	2799309
Binary	1010101011011011001101 (22 bits)
Octal	0o12533315
Hexadecimal	0x2AB6CD

Divisor Catalog (8)

1 3 37 111 25,219 75,657 933,103 2,799,309

Collatz Trajectory (107 steps to reach 1)

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

2,799,309 8,397,928 4,198,964 2,099,482 1,049,741 3,149,224 1,574,612 787,306 393,653 1,180,960 590,480 295,240 147,620 73,810 36,905 110,716 55,358 27,679 83,038 41,519 124,558 62,279 186,838 93,419 280,258 140,129 420,388 210,194 105,097 315,292 157,646 78,823 236,470 118,235 354,706 177,353 532,060 266,030 133,015 399,046 199,523 598,570 299,285 897,856 448,928 224,464 112,232 56,116 28,058 14,029 42,088 21,044 10,522 5,261 15,784 7,892 3,946 1,973 5,920 2,960

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