422,355

3 × 5 × 37 × 761

422,355 factors as 3 × 5 × 37 × 761. Its 16 positive divisors give a proper-divisor sum of 272,589, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 3 × 5 × 37 × 761

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 694,944

Proper Divisor Sum 272,589

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #422353 ← → #422363

Radix Representation

Decimal	422355
Binary	1100111000111010011 (19 bits)
Octal	0o1470723
Hexadecimal	0x671D3

Divisor Catalog (16)

1 3 5 15 37 111 185 555 761 2,283 3,805 11,415 28,157 84,471 140,785 422,355

Collatz Trajectory (130 steps to reach 1)

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

422,355 1,267,066 633,533 1,900,600 950,300 475,150 237,575 712,726 356,363 1,069,090 534,545 1,603,636 801,818 400,909 1,202,728 601,364 300,682 150,341 451,024 225,512 112,756 56,378 28,189 84,568 42,284 21,142 10,571 31,714 15,857 47,572 23,786 11,893 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #422,354 Browse Full Index Next Integer #422,356 →