λ
Sigma Notebook

9,628,908

22 × 3 × 137 × 5857
Abundant Even Composite

9,628,908 is even and not a perfect square. Its factorization is 2^2 × 3 × 137 × 5857 and its 24 divisors sum to 22,635,312.

Prime Factor Structure

Factorization String 2^2 × 3 × 137 × 5857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,635,312
Proper Divisor Sum 13,006,404
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9628897 ← → #9628909

Radix Representation

Decimal 9628908
Binary 100100101110110011101100 (24 bits)
Octal 0o44566354
Hexadecimal 0x92ECEC

Divisor Catalog (24)

1 2 3 4 6 12 137 274 411 548 822 1,644 5,857 11,714 17,571 23,428 35,142 70,284 802,409 1,604,818 2,407,227 3,209,636 4,814,454 9,628,908

Collatz Trajectory (145 steps to reach 1)

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

9,628,908 4,814,454 2,407,227 7,221,682 3,610,841 10,832,524 5,416,262 2,708,131 8,124,394 4,062,197 12,186,592 6,093,296 3,046,648 1,523,324 761,662 380,831 1,142,494 571,247 1,713,742 856,871 2,570,614 1,285,307 3,855,922 1,927,961 5,783,884 2,891,942 1,445,971 4,337,914 2,168,957 6,506,872 3,253,436 1,626,718 813,359 2,440,078 1,220,039 3,660,118 1,830,059 5,490,178 2,745,089 8,235,268 4,117,634 2,058,817 6,176,452 3,088,226 1,544,113 4,632,340 2,316,170 1,158,085 3,474,256 1,737,128 868,564 434,282 217,141 651,424 325,712 162,856 81,428 40,714 20,357 61,072

More profiles

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