7,208,478

2 × 3² × 400471

Starting at 7,208,478, the Collatz iteration reaches 1 after 235 steps. The first transition is 3604239; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 400471

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,618,408

Proper Divisor Sum 8,409,930

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7208473 ← → #7208489

Radix Representation

Decimal	7208478
Binary	11011011111111000011110 (23 bits)
Octal	0o33377036
Hexadecimal	0x6DFE1E

Divisor Catalog (12)

1 2 3 6 9 18 400,471 800,942 1,201,413 2,402,826 3,604,239 7,208,478

Collatz Trajectory (235 steps to reach 1)

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

7,208,478 3,604,239 10,812,718 5,406,359 16,219,078 8,109,539 24,328,618 12,164,309 36,492,928 18,246,464 9,123,232 4,561,616 2,280,808 1,140,404 570,202 285,101 855,304 427,652 213,826 106,913 320,740 160,370 80,185 240,556 120,278 60,139 180,418 90,209 270,628 135,314 67,657 202,972 101,486 50,743 152,230 76,115 228,346 114,173 342,520 171,260 85,630 42,815 128,446 64,223 192,670 96,335 289,006 144,503 433,510 216,755 650,266 325,133 975,400 487,700 243,850 121,925 365,776 182,888 91,444 45,722

← Previous Integer #7,208,477 Browse Full Index Next Integer #7,208,479 →