λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,601,208

8,601,208

23 × 7 × 11 × 13963
Abundant Even Composite

8,601,208 factors as 2^3 × 7 × 11 × 13963. Its 32 positive divisors give a proper-divisor sum of 11,506,952, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 13963
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,108,160
Proper Divisor Sum 11,506,952
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8601191 ← → #8601209

Radix Representation

Decimal 8601208
Binary 100000110011111001111000 (24 bits)
Octal 0o40637170
Hexadecimal 0x833E78

Divisor Catalog (32)

1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 13,963 27,926 55,852 97,741 111,704 153,593 195,482 307,186 390,964 614,372 781,928 1,075,151 1,228,744 2,150,302 4,300,604 8,601,208

Collatz Trajectory (80 steps to reach 1)

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

8,601,208 4,300,604 2,150,302 1,075,151 3,225,454 1,612,727 4,838,182 2,419,091 7,257,274 3,628,637 10,885,912 5,442,956 2,721,478 1,360,739 4,082,218 2,041,109 6,123,328 3,061,664 1,530,832 765,416 382,708 191,354 95,677 287,032 143,516 71,758 35,879 107,638 53,819 161,458 80,729 242,188 121,094 60,547 181,642 90,821 272,464 136,232 68,116 34,058 17,029 51,088 25,544 12,772 6,386 3,193 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,601,207 Browse Full Index Next Integer #8,601,209 →