5,008,419

3³ × 13 × 19 × 751

Starting at 5,008,419, the Collatz iteration reaches 1 after 87 steps. The first transition is 15025258; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 13 × 19 × 751

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,422,400

Proper Divisor Sum 3,413,981

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5008417 ← → #5008429

Radix Representation

Decimal	5008419
Binary	10011000110110000100011 (23 bits)
Octal	0o23066043
Hexadecimal	0x4C6C23

Divisor Catalog (32)

1 3 9 13 19 27 39 57 117 171 247 351 513 741 751 2,223 2,253 6,669 6,759 9,763 14,269 20,277 29,289 42,807 87,867 128,421 185,497 263,601 385,263 556,491 1,669,473 5,008,419

Collatz Trajectory (87 steps to reach 1)

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

5,008,419 15,025,258 7,512,629 22,537,888 11,268,944 5,634,472 2,817,236 1,408,618 704,309 2,112,928 1,056,464 528,232 264,116 132,058 66,029 198,088 99,044 49,522 24,761 74,284 37,142 18,571 55,714 27,857 83,572 41,786 20,893 62,680 31,340 15,670 7,835 23,506 11,753 35,260 17,630 8,815 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184 10,592 5,296

← Previous Integer #5,008,418 Browse Full Index Next Integer #5,008,420 →