429,327

3³ × 15901

429,327 factors as 3^3 × 15901. Its 8 positive divisors give a proper-divisor sum of 206,753, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 3^3 × 15901

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 636,080

Proper Divisor Sum 206,753

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #429283 ← → #429329

Radix Representation

Decimal	429327
Binary	1101000110100001111 (19 bits)
Octal	0o1506417
Hexadecimal	0x68D0F

Divisor Catalog (8)

1 3 9 27 15,901 47,703 143,109 429,327

Collatz Trajectory (112 steps to reach 1)

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

429,327 1,287,982 643,991 1,931,974 965,987 2,897,962 1,448,981 4,346,944 2,173,472 1,086,736 543,368 271,684 135,842 67,921 203,764 101,882 50,941 152,824 76,412 38,206 19,103 57,310 28,655 85,966 42,983 128,950 64,475 193,426 96,713 290,140 145,070 72,535 217,606 108,803 326,410 163,205 489,616 244,808 122,404 61,202 30,601 91,804 45,902 22,951 68,854 34,427 103,282 51,641 154,924 77,462 38,731 116,194 58,097 174,292 87,146 43,573 130,720 65,360 32,680 16,340

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #429,326 Browse Full Index Next Integer #429,328 →