8,779,680

2⁵ × 3² × 5 × 7 × 13 × 67

Starting at 8,779,680, the Collatz iteration reaches 1 after 168 steps. The first transition is 4389840; the starting value is even with 288 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 7 × 13 × 67

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 288

Divisor Sum (σ) 37,425,024

Proper Divisor Sum 28,645,344

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8779621 ← → #8779703

Radix Representation

Decimal	8779680
Binary	100001011111011110100000 (24 bits)
Octal	0o41373640
Hexadecimal	0x85F7A0

Divisor Catalog (60 of 288)

1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 65 67 70 72 78 80 84 90 91 96 104 105 112 117 120 126 130 134 140 144 156 160 168 180 182 195

Collatz Trajectory (168 steps to reach 1)

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

8,779,680 4,389,840 2,194,920 1,097,460 548,730 274,365 823,096 411,548 205,774 102,887 308,662 154,331 462,994 231,497 694,492 347,246 173,623 520,870 260,435 781,306 390,653 1,171,960 585,980 292,990 146,495 439,486 219,743 659,230 329,615 988,846 494,423 1,483,270 741,635 2,224,906 1,112,453 3,337,360 1,668,680 834,340 417,170 208,585 625,756 312,878 156,439 469,318 234,659 703,978 351,989 1,055,968 527,984 263,992 131,996 65,998 32,999 98,998 49,499 148,498 74,249 222,748 111,374 55,687

← Previous Integer #8,779,679 Browse Full Index Next Integer #8,779,681 →