42,768,418

2 × 7 × 11² × 25247

42,768,418 factors as 2 × 7 × 11^2 × 25247. Its 24 positive divisors give a proper-divisor sum of 37,823,198, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11^2 × 25247

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 80,591,616

Proper Divisor Sum 37,823,198

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #42768391 ← → #42768419

Radix Representation

Decimal	42768418
Binary	10100011001001100000100010 (26 bits)
Octal	0o243114042
Hexadecimal	0x28C9822

Divisor Catalog (24)

Collatz Trajectory (121 steps to reach 1)

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

42,768,418 21,384,209 64,152,628 32,076,314 16,038,157 48,114,472 24,057,236 12,028,618 6,014,309 18,042,928 9,021,464 4,510,732 2,255,366 1,127,683 3,383,050 1,691,525 5,074,576 2,537,288 1,268,644 634,322 317,161 951,484 475,742 237,871 713,614 356,807 1,070,422 535,211 1,605,634 802,817 2,408,452 1,204,226 602,113 1,806,340 903,170 451,585 1,354,756 677,378 338,689 1,016,068 508,034 254,017 762,052 381,026 190,513 571,540 285,770 142,885 428,656 214,328 107,164 53,582 26,791 80,374 40,187 120,562 60,281 180,844 90,422 45,211

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #42,768,417 Browse Full Index Next Integer #42,768,419 →