438,744

2³ × 3 × 101 × 181

438,744 factors as 2^3 × 3 × 101 × 181. Its 32 positive divisors give a proper-divisor sum of 675,096, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 101 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,113,840

Proper Divisor Sum 675,096

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #438733 ← → #438761

Radix Representation

Decimal	438744
Binary	1101011000111011000 (19 bits)
Octal	0o1530730
Hexadecimal	0x6B1D8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 101 181 202 303 362 404 543 606 724 808 1,086 1,212 1,448 2,172 2,424 4,344 18,281 36,562 54,843 73,124 109,686 146,248 219,372 438,744

Collatz Trajectory (68 steps to reach 1)

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

438,744 219,372 109,686 54,843 164,530 82,265 246,796 123,398 61,699 185,098 92,549 277,648 138,824 69,412 34,706 17,353 52,060 26,030 13,015 39,046 19,523 58,570 29,285 87,856 43,928 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #438,743 Browse Full Index Next Integer #438,745 →