λ
Sigma Notebook

9,213,444

22 × 32 × 37 × 6917
Abundant Even Composite

9,213,444 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 37 × 6917 and its 36 divisors sum to 23,922,444.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 37 × 6917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 23,922,444
Proper Divisor Sum 14,709,000
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9213437 ← → #9213497

Radix Representation

Decimal 9213444
Binary 100011001001011000000100 (24 bits)
Octal 0o43113004
Hexadecimal 0x8C9604

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1,332 6,917 13,834 20,751 27,668 41,502 62,253 83,004 124,506 249,012 255,929 511,858 767,787 1,023,716 1,535,574 2,303,361 3,071,148 4,606,722 9,213,444

Collatz Trajectory (225 steps to reach 1)

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

9,213,444 4,606,722 2,303,361 6,910,084 3,455,042 1,727,521 5,182,564 2,591,282 1,295,641 3,886,924 1,943,462 971,731 2,915,194 1,457,597 4,372,792 2,186,396 1,093,198 546,599 1,639,798 819,899 2,459,698 1,229,849 3,689,548 1,844,774 922,387 2,767,162 1,383,581 4,150,744 2,075,372 1,037,686 518,843 1,556,530 778,265 2,334,796 1,167,398 583,699 1,751,098 875,549 2,626,648 1,313,324 656,662 328,331 984,994 492,497 1,477,492 738,746 369,373 1,108,120 554,060 277,030 138,515 415,546 207,773 623,320 311,660 155,830 77,915 233,746 116,873 350,620

More profiles

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