λ
Integer Codex

9,397,638

2 × 32 × 59 × 8849
Abundant Even Composite

For 9,397,638, the 24 positive divisors have a total of 20,709,000. Removing 9,397,638 leaves 11,311,362, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 59 × 8849
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,709,000
Proper Divisor Sum 11,311,362
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9397561 ← → #9397643

Radix Representation

Decimal 9397638
Binary 100011110110010110000110 (24 bits)
Octal 0o43662606
Hexadecimal 0x8F6586

Divisor Catalog (24)

1 2 3 6 9 18 59 118 177 354 531 1,062 8,849 17,698 26,547 53,094 79,641 159,282 522,091 1,044,182 1,566,273 3,132,546 4,698,819 9,397,638

Collatz Trajectory (194 steps to reach 1)

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

9,397,638 4,698,819 14,096,458 7,048,229 21,144,688 10,572,344 5,286,172 2,643,086 1,321,543 3,964,630 1,982,315 5,946,946 2,973,473 8,920,420 4,460,210 2,230,105 6,690,316 3,345,158 1,672,579 5,017,738 2,508,869 7,526,608 3,763,304 1,881,652 940,826 470,413 1,411,240 705,620 352,810 176,405 529,216 264,608 132,304 66,152 33,076 16,538 8,269 24,808 12,404 6,202 3,101 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660

More profiles

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