2,118,921

3 × 7 × 23 × 41 × 107

2,118,921 factors as 3 × 7 × 23 × 41 × 107. Its 32 positive divisors give a proper-divisor sum of 1,364,727, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 3 × 7 × 23 × 41 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,483,648

Proper Divisor Sum 1,364,727

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2118917 ← → #2118923

Radix Representation

Decimal	2118921
Binary	1000000101010100001001 (22 bits)
Octal	0o10052411
Hexadecimal	0x205509

Divisor Catalog (32)

1 3 7 21 23 41 69 107 123 161 287 321 483 749 861 943 2,247 2,461 2,829 4,387 6,601 7,383 13,161 17,227 19,803 30,709 51,681 92,127 100,901 302,703 706,307 2,118,921

Collatz Trajectory (127 steps to reach 1)

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

2,118,921 6,356,764 3,178,382 1,589,191 4,767,574 2,383,787 7,151,362 3,575,681 10,727,044 5,363,522 2,681,761 8,045,284 4,022,642 2,011,321 6,033,964 3,016,982 1,508,491 4,525,474 2,262,737 6,788,212 3,394,106 1,697,053 5,091,160 2,545,580 1,272,790 636,395 1,909,186 954,593 2,863,780 1,431,890 715,945 2,147,836 1,073,918 536,959 1,610,878 805,439 2,416,318 1,208,159 3,624,478 1,812,239 5,436,718 2,718,359 8,155,078 4,077,539 12,232,618 6,116,309 18,348,928 9,174,464 4,587,232 2,293,616 1,146,808 573,404 286,702 143,351 430,054 215,027 645,082 322,541 967,624 483,812

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