20,007,221

13 × 41 × 37537

20,007,221 factors as 13 × 41 × 37537. Its 8 positive divisors give a proper-divisor sum of 2,065,123, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 13 × 41 × 37537

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 22,072,344

Proper Divisor Sum 2,065,123

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #20007203 ← → #20007223

Radix Representation

Decimal	20007221
Binary	1001100010100100100110101 (25 bits)
Octal	0o114244465
Hexadecimal	0x1314935

Divisor Catalog (8)

1 13 41 533 37,537 487,981 1,539,017 20,007,221

Collatz Trajectory (177 steps to reach 1)

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

20,007,221 60,021,664 30,010,832 15,005,416 7,502,708 3,751,354 1,875,677 5,627,032 2,813,516 1,406,758 703,379 2,110,138 1,055,069 3,165,208 1,582,604 791,302 395,651 1,186,954 593,477 1,780,432 890,216 445,108 222,554 111,277 333,832 166,916 83,458 41,729 125,188 62,594 31,297 93,892 46,946 23,473 70,420 35,210 17,605 52,816 26,408 13,204 6,602 3,301 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #20,007,220 Browse Full Index Next Integer #20,007,222 →