4,478,940

2² × 3² × 5 × 149 × 167

Starting at 4,478,940, the Collatz iteration reaches 1 after 180 steps. The first transition is 2239470; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 149 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 13,759,200

Proper Divisor Sum 9,280,260

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4478917 ← → #4478983

Radix Representation

Decimal	4478940
Binary	10001000101011111011100 (23 bits)
Octal	0o21053734
Hexadecimal	0x4457DC

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 167 180 298 334 447 501 596 668 745 835 894 1,002 1,341 1,490 1,503 1,670 1,788 2,004 2,235 2,505 2,682 2,980 3,006 3,340 4,470 5,010 5,364 6,012 6,705 7,515 8,940 10,020 13,410 15,030 24,883 26,820 30,060 49,766 74,649 99,532 124,415 149,298

Collatz Trajectory (180 steps to reach 1)

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

4,478,940 2,239,470 1,119,735 3,359,206 1,679,603 5,038,810 2,519,405 7,558,216 3,779,108 1,889,554 944,777 2,834,332 1,417,166 708,583 2,125,750 1,062,875 3,188,626 1,594,313 4,782,940 2,391,470 1,195,735 3,587,206 1,793,603 5,380,810 2,690,405 8,071,216 4,035,608 2,017,804 1,008,902 504,451 1,513,354 756,677 2,270,032 1,135,016 567,508 283,754 141,877 425,632 212,816 106,408 53,204 26,602 13,301 39,904 19,952 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738

← Previous Integer #4,478,939 Browse Full Index Next Integer #4,478,941 →