2,002,960

2⁴ × 5 × 25037

Starting at 2,002,960, the Collatz iteration reaches 1 after 91 steps. The first transition is 1001480; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 25037

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 4,657,068

Proper Divisor Sum 2,654,108

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #2002939 ← → #2002967

Radix Representation

Decimal	2002960
Binary	111101001000000010000 (21 bits)
Octal	0o7510020
Hexadecimal	0x1E9010

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 25,037 50,074 100,148 125,185 200,296 250,370 400,592 500,740 1,001,480 2,002,960

Collatz Trajectory (91 steps to reach 1)

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

2,002,960 1,001,480 500,740 250,370 125,185 375,556 187,778 93,889 281,668 140,834 70,417 211,252 105,626 52,813 158,440 79,220 39,610 19,805 59,416 29,708 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59

← Previous Integer #2,002,959 Browse Full Index Next Integer #2,002,961 →