4,044,840

2³ × 3 × 5 × 37 × 911

Starting at 4,044,840, the Collatz iteration reaches 1 after 84 steps. The first transition is 2022420; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 37 × 911

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 12,476,160

Proper Divisor Sum 8,431,320

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4044811 ← → #4044841

Radix Representation

Decimal	4044840
Binary	1111011011100000101000 (22 bits)
Octal	0o17334050
Hexadecimal	0x3DB828

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 911 1,110 1,480 1,822 2,220 2,733 3,644 4,440 4,555 5,466 7,288 9,110 10,932 13,665 18,220 21,864 27,330 33,707 36,440 54,660 67,414 101,121 109,320 134,828 168,535 202,242 269,656 337,070 404,484 505,605 674,140 808,968

Collatz Trajectory (84 steps to reach 1)

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

4,044,840 2,022,420 1,011,210 505,605 1,516,816 758,408 379,204 189,602 94,801 284,404 142,202 71,101 213,304 106,652 53,326 26,663 79,990 39,995 119,986 59,993 179,980 89,990 44,995 134,986 67,493 202,480 101,240 50,620 25,310 12,655 37,966 18,983 56,950 28,475 85,426 42,713 128,140 64,070 32,035 96,106 48,053 144,160 72,080 36,040 18,020 9,010 4,505 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713

← Previous Integer #4,044,839 Browse Full Index Next Integer #4,044,841 →