2,667,625

5³ × 21341

Starting at 2,667,625, the Collatz iteration reaches 1 after 143 steps. The first transition is 8002876; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 21341

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,329,352

Proper Divisor Sum 661,727

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2667611 ← → #2667631

Radix Representation

Decimal	2667625
Binary	1010001011010001101001 (22 bits)
Octal	0o12132151
Hexadecimal	0x28B469

Divisor Catalog (8)

1 5 25 125 21,341 106,705 533,525 2,667,625

Collatz Trajectory (143 steps to reach 1)

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

2,667,625 8,002,876 4,001,438 2,000,719 6,002,158 3,001,079 9,003,238 4,501,619 13,504,858 6,752,429 20,257,288 10,128,644 5,064,322 2,532,161 7,596,484 3,798,242 1,899,121 5,697,364 2,848,682 1,424,341 4,273,024 2,136,512 1,068,256 534,128 267,064 133,532 66,766 33,383 100,150 50,075 150,226 75,113 225,340 112,670 56,335 169,006 84,503 253,510 126,755 380,266 190,133 570,400 285,200 142,600 71,300 35,650 17,825 53,476 26,738 13,369 40,108 20,054 10,027 30,082 15,041 45,124 22,562 11,281 33,844 16,922

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