λ
Integer Codex

9,770,412

22 × 3 × 197 × 4133
Abundant Even Composite

For 9,770,412, the 24 positive divisors have a total of 22,918,896. Removing 9,770,412 leaves 13,148,484, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 197 × 4133
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,918,896
Proper Divisor Sum 13,148,484
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9770401 ← → #9770441

Radix Representation

Decimal 9770412
Binary 100101010001010110101100 (24 bits)
Octal 0o45212654
Hexadecimal 0x9515AC

Divisor Catalog (24)

1 2 3 4 6 12 197 394 591 788 1,182 2,364 4,133 8,266 12,399 16,532 24,798 49,596 814,201 1,628,402 2,442,603 3,256,804 4,885,206 9,770,412

Collatz Trajectory (62 steps to reach 1)

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

9,770,412 4,885,206 2,442,603 7,327,810 3,663,905 10,991,716 5,495,858 2,747,929 8,243,788 4,121,894 2,060,947 6,182,842 3,091,421 9,274,264 4,637,132 2,318,566 1,159,283 3,477,850 1,738,925 5,216,776 2,608,388 1,304,194 652,097 1,956,292 978,146 489,073 1,467,220 733,610 366,805 1,100,416 550,208 275,104 137,552 68,776 34,388 17,194 8,597 25,792 12,896 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8

More profiles

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