λ
Harmonic Matrix

3,466,740

22 × 3 × 5 × 19 × 3041
Abundant Even Composite

3,466,740 has digital root 3. The neighboring primes are 3466739 and 3466741; its proper-divisor sum differs from the starting integer by 3,287,640.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 19 × 3041
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,221,120
Proper Divisor Sum 6,754,380
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3466739 ← → #3466741

Radix Representation

Decimal 3466740
Binary 1101001110010111110100 (22 bits)
Octal 0o15162764
Hexadecimal 0x34E5F4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1,140 3,041 6,082 9,123 12,164 15,205 18,246 30,410 36,492 45,615 57,779 60,820 91,230 115,558 173,337 182,460 231,116 288,895 346,674 577,790 693,348 866,685 1,155,580 1,733,370 3,466,740

Collatz Trajectory (97 steps to reach 1)

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

3,466,740 1,733,370 866,685 2,600,056 1,300,028 650,014 325,007 975,022 487,511 1,462,534 731,267 2,193,802 1,096,901 3,290,704 1,645,352 822,676 411,338 205,669 617,008 308,504 154,252 77,126 38,563 115,690 57,845 173,536 86,768 43,384 21,692 10,846 5,423 16,270 8,135 24,406 12,203 36,610 18,305 54,916 27,458 13,729 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 1,222 611

More profiles

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