2,667,821

13 × 163 × 1259

Starting at 2,667,821, the Collatz iteration reaches 1 after 156 steps. The first transition is 8003464; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 163 × 1259

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,892,960

Proper Divisor Sum 225,139

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2667799 ← → #2667851

Radix Representation

Decimal	2667821
Binary	1010001011010100101101 (22 bits)
Octal	0o12132455
Hexadecimal	0x28B52D

Divisor Catalog (8)

1 13 163 1,259 2,119 16,367 205,217 2,667,821

Collatz Trajectory (156 steps to reach 1)

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

2,667,821 8,003,464 4,001,732 2,000,866 1,000,433 3,001,300 1,500,650 750,325 2,250,976 1,125,488 562,744 281,372 140,686 70,343 211,030 105,515 316,546 158,273 474,820 237,410 118,705 356,116 178,058 89,029 267,088 133,544 66,772 33,386 16,693 50,080 25,040 12,520 6,260 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484

← Previous Integer #2,667,820 Browse Full Index Next Integer #2,667,822 →