3,431,820

2² × 3 × 5 × 7 × 8171

3,431,820 has digital root 3. The neighboring primes are 3431819 and 3431821; its proper-divisor sum differs from the starting integer by 4,119,528.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 8171

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,983,168

Proper Divisor Sum 7,551,348

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3431819 ← → #3431821

Radix Representation

Decimal	3431820
Binary	1101000101110110001100 (22 bits)
Octal	0o15056614
Hexadecimal	0x345D8C

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 8,171 16,342 24,513 32,684 40,855 49,026 57,197 81,710 98,052 114,394 122,565 163,420 171,591 228,788 245,130 285,985 343,182 490,260 571,970 686,364 857,955 1,143,940 1,715,910 3,431,820

Collatz Trajectory (102 steps to reach 1)

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

3,431,820 1,715,910 857,955 2,573,866 1,286,933 3,860,800 1,930,400 965,200 482,600 241,300 120,650 60,325 180,976 90,488 45,244 22,622 11,311 33,934 16,967 50,902 25,451 76,354 38,177 114,532 57,266 28,633 85,900 42,950 21,475 64,426 32,213 96,640 48,320 24,160 12,080 6,040 3,020 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644

← Previous Integer #3,431,819 Browse Full Index Next Integer #3,431,821 →