1,921,005

3² × 5 × 42689

Starting at 1,921,005, the Collatz iteration reaches 1 after 171 steps. The first transition is 5763016; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 42689

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,329,820

Proper Divisor Sum 1,408,815

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1920991 ← → #1921013

Radix Representation

Decimal	1921005
Binary	111010100111111101101 (21 bits)
Octal	0o7247755
Hexadecimal	0x1D4FED

Divisor Catalog (12)

1 3 5 9 15 45 42,689 128,067 213,445 384,201 640,335 1,921,005

Collatz Trajectory (171 steps to reach 1)

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

1,921,005 5,763,016 2,881,508 1,440,754 720,377 2,161,132 1,080,566 540,283 1,620,850 810,425 2,431,276 1,215,638 607,819 1,823,458 911,729 2,735,188 1,367,594 683,797 2,051,392 1,025,696 512,848 256,424 128,212 64,106 32,053 96,160 48,080 24,040 12,020 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202

← Previous Integer #1,921,004 Browse Full Index Next Integer #1,921,006 →