428,829

3 × 223 × 641

428,829 has digital root 6. The neighboring primes are 428809 and 428833; its proper-divisor sum differs from the starting integer by -282,426.

Prime Factor Structure

Factorization String 3 × 223 × 641

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 575,232

Proper Divisor Sum 146,403

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #428809 ← → #428833

Radix Representation

Decimal	428829
Binary	1101000101100011101 (19 bits)
Octal	0o1505435
Hexadecimal	0x68B1D

Divisor Catalog (8)

1 3 223 641 669 1,923 142,943 428,829

Collatz Trajectory (73 steps to reach 1)

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

428,829 1,286,488 643,244 321,622 160,811 482,434 241,217 723,652 361,826 180,913 542,740 271,370 135,685 407,056 203,528 101,764 50,882 25,441 76,324 38,162 19,081 57,244 28,622 14,311 42,934 21,467 64,402 32,201 96,604 48,302 24,151 72,454 36,227 108,682 54,341 163,024 81,512 40,756 20,378 10,189 30,568 15,284 7,642 3,821 11,464 5,732 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454

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