428,802

2 × 3 × 11 × 73 × 89

428,802 has digital root 6. The neighboring primes are 428801 and 428807; its proper-divisor sum differs from the starting integer by 101,436.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 73 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 959,040

Proper Divisor Sum 530,238

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #428801 ← → #428807

Radix Representation

Decimal	428802
Binary	1101000101100000010 (19 bits)
Octal	0o1505402
Hexadecimal	0x68B02

Divisor Catalog (32)

1 2 3 6 11 22 33 66 73 89 146 178 219 267 438 534 803 979 1,606 1,958 2,409 2,937 4,818 5,874 6,497 12,994 19,491 38,982 71,467 142,934 214,401 428,802

Collatz Trajectory (73 steps to reach 1)

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

428,802 214,401 643,204 321,602 160,801 482,404 241,202 120,601 361,804 180,902 90,451 271,354 135,677 407,032 203,516 101,758 50,879 152,638 76,319 228,958 114,479 343,438 171,719 515,158 257,579 772,738 386,369 1,159,108 579,554 289,777 869,332 434,666 217,333 652,000 326,000 163,000 81,500 40,750 20,375 61,126 30,563 91,690 45,845 137,536 68,768 34,384 17,192 8,596 4,298 2,149 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454

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