4,398,840

2³ × 3³ × 5 × 4073

Starting at 4,398,840, the Collatz iteration reaches 1 after 180 steps. The first transition is 2199420; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 4073

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 14,666,400

Proper Divisor Sum 10,267,560

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4398839 ← → #4398851

Radix Representation

Decimal	4398840
Binary	10000110001111011111000 (23 bits)
Octal	0o20617370
Hexadecimal	0x431EF8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1,080 4,073 8,146 12,219 16,292 20,365 24,438 32,584 36,657 40,730 48,876 61,095 73,314 81,460 97,752 109,971 122,190 146,628 162,920 183,285 219,942 244,380 293,256 366,570 439,884 488,760 549,855 733,140 879,768

Collatz Trajectory (180 steps to reach 1)

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

4,398,840 2,199,420 1,099,710 549,855 1,649,566 824,783 2,474,350 1,237,175 3,711,526 1,855,763 5,567,290 2,783,645 8,350,936 4,175,468 2,087,734 1,043,867 3,131,602 1,565,801 4,697,404 2,348,702 1,174,351 3,523,054 1,761,527 5,284,582 2,642,291 7,926,874 3,963,437 11,890,312 5,945,156 2,972,578 1,486,289 4,458,868 2,229,434 1,114,717 3,344,152 1,672,076 836,038 418,019 1,254,058 627,029 1,881,088 940,544 470,272 235,136 117,568 58,784 29,392 14,696 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776

← Previous Integer #4,398,839 Browse Full Index Next Integer #4,398,841 →