λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,697,280

8,697,280

26 × 5 × 27179
Abundant Even Composite

8,697,280 factors as 2^6 × 5 × 27179. Its 28 positive divisors give a proper-divisor sum of 12,013,880, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 27179
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 20,711,160
Proper Divisor Sum 12,013,880
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8697277 ← → #8697301

Radix Representation

Decimal 8697280
Binary 100001001011010111000000 (24 bits)
Octal 0o41132700
Hexadecimal 0x84B5C0

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 27,179 54,358 108,716 135,895 217,432 271,790 434,864 543,580 869,728 1,087,160 1,739,456 2,174,320 4,348,640 8,697,280

Collatz Trajectory (119 steps to reach 1)

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

8,697,280 4,348,640 2,174,320 1,087,160 543,580 271,790 135,895 407,686 203,843 611,530 305,765 917,296 458,648 229,324 114,662 57,331 171,994 85,997 257,992 128,996 64,498 32,249 96,748 48,374 24,187 72,562 36,281 108,844 54,422 27,211 81,634 40,817 122,452 61,226 30,613 91,840 45,920 22,960 11,480 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,697,279 Browse Full Index Next Integer #8,697,281 →