20,972,724

2² × 3 × 1747727

20,972,724 factors as 2^2 × 3 × 1747727. Its 12 positive divisors give a proper-divisor sum of 27,963,660, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 1747727

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 48,936,384

Proper Divisor Sum 27,963,660

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #20972663 ← → #20972729

Radix Representation

Decimal	20972724
Binary	1010000000000010010110100 (25 bits)
Octal	0o120002264
Hexadecimal	0x14004B4

Divisor Catalog (12)

1 2 3 4 6 12 1,747,727 3,495,454 5,243,181 6,990,908 10,486,362 20,972,724

Collatz Trajectory (190 steps to reach 1)

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

20,972,724 10,486,362 5,243,181 15,729,544 7,864,772 3,932,386 1,966,193 5,898,580 2,949,290 1,474,645 4,423,936 2,211,968 1,105,984 552,992 276,496 138,248 69,124 34,562 17,281 51,844 25,922 12,961 38,884 19,442 9,721 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203 24,610 12,305 36,916 18,458 9,229 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #20,972,723 Browse Full Index Next Integer #20,972,725 →