λ
Sigma Notebook

9,220,722

2 × 3 × 72 × 79 × 397
Abundant Even Composite

9,220,722 is even and not a perfect square. Its factorization is 2 × 3 × 7^2 × 79 × 397 and its 48 divisors sum to 21,778,560.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 79 × 397
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,778,560
Proper Divisor Sum 12,557,838
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9220721 ← → #9220751

Radix Representation

Decimal 9220722
Binary 100011001011001001110010 (24 bits)
Octal 0o43131162
Hexadecimal 0x8CB272

Divisor Catalog (48)

1 2 3 6 7 14 21 42 49 79 98 147 158 237 294 397 474 553 794 1,106 1,191 1,659 2,382 2,779 3,318 3,871 5,558 7,742 8,337 11,613 16,674 19,453 23,226 31,363 38,906 58,359 62,726 94,089 116,718 188,178 219,541 439,082 658,623 1,317,246 1,536,787 3,073,574 4,610,361 9,220,722

Collatz Trajectory (194 steps to reach 1)

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

9,220,722 4,610,361 13,831,084 6,915,542 3,457,771 10,373,314 5,186,657 15,559,972 7,779,986 3,889,993 11,669,980 5,834,990 2,917,495 8,752,486 4,376,243 13,128,730 6,564,365 19,693,096 9,846,548 4,923,274 2,461,637 7,384,912 3,692,456 1,846,228 923,114 461,557 1,384,672 692,336 346,168 173,084 86,542 43,271 129,814 64,907 194,722 97,361 292,084 146,042 73,021 219,064 109,532 54,766 27,383 82,150 41,075 123,226 61,613 184,840 92,420 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748

More profiles

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