λ
Harmonic Matrix

3,432,066

2 × 3 × 11 × 149 × 349
Abundant Even Composite

3,432,066 has digital root 6. The neighboring primes are 3432061 and 3432067; its proper-divisor sum differs from the starting integer by 695,868.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 149 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,560,000
Proper Divisor Sum 4,127,934
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3432061 ← → #3432067

Radix Representation

Decimal 3432066
Binary 1101000101111010000010 (22 bits)
Octal 0o15057202
Hexadecimal 0x345E82

Divisor Catalog (32)

1 2 3 6 11 22 33 66 149 298 349 447 698 894 1,047 1,639 2,094 3,278 3,839 4,917 7,678 9,834 11,517 23,034 52,001 104,002 156,003 312,006 572,011 1,144,022 1,716,033 3,432,066

Collatz Trajectory (252 steps to reach 1)

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

3,432,066 1,716,033 5,148,100 2,574,050 1,287,025 3,861,076 1,930,538 965,269 2,895,808 1,447,904 723,952 361,976 180,988 90,494 45,247 135,742 67,871 203,614 101,807 305,422 152,711 458,134 229,067 687,202 343,601 1,030,804 515,402 257,701 773,104 386,552 193,276 96,638 48,319 144,958 72,479 217,438 108,719 326,158 163,079 489,238 244,619 733,858 366,929 1,100,788 550,394 275,197 825,592 412,796 206,398 103,199 309,598 154,799 464,398 232,199 696,598 348,299 1,044,898 522,449 1,567,348 783,674

More profiles

← Previous Integer #3,432,065 Browse Full Index Next Integer #3,432,067 →