4,588,440

2³ × 3 × 5 × 38237

Starting at 4,588,440, the Collatz iteration reaches 1 after 105 steps. The first transition is 2294220; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 38237

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,765,680

Proper Divisor Sum 9,177,240

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4588429 ← → #4588457

Radix Representation

Decimal	4588440
Binary	10001100000001110011000 (23 bits)
Octal	0o21401630
Hexadecimal	0x460398

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 38,237 76,474 114,711 152,948 191,185 229,422 305,896 382,370 458,844 573,555 764,740 917,688 1,147,110 1,529,480 2,294,220 4,588,440

Collatz Trajectory (105 steps to reach 1)

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

4,588,440 2,294,220 1,147,110 573,555 1,720,666 860,333 2,581,000 1,290,500 645,250 322,625 967,876 483,938 241,969 725,908 362,954 181,477 544,432 272,216 136,108 68,054 34,027 102,082 51,041 153,124 76,562 38,281 114,844 57,422 28,711 86,134 43,067 129,202 64,601 193,804 96,902 48,451 145,354 72,677 218,032 109,016 54,508 27,254 13,627 40,882 20,441 61,324 30,662 15,331 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 1,078 539 1,618 809

← Previous Integer #4,588,439 Browse Full Index Next Integer #4,588,441 →