λ
Harmonic Matrix

1,401,690

2 × 3 × 5 × 46723
Abundant Even Composite

1,401,690 has digital root 3. The neighboring primes are 1401683 and 1401703; its proper-divisor sum differs from the starting integer by 560,748.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 46723
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,364,128
Proper Divisor Sum 1,962,438
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1401683 ← → #1401703

Radix Representation

Decimal 1401690
Binary 101010110001101011010 (21 bits)
Octal 0o5261532
Hexadecimal 0x15635A

Divisor Catalog (16)

1 2 3 5 6 10 15 30 46,723 93,446 140,169 233,615 280,338 467,230 700,845 1,401,690

Collatz Trajectory (137 steps to reach 1)

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

1,401,690 700,845 2,102,536 1,051,268 525,634 262,817 788,452 394,226 197,113 591,340 295,670 147,835 443,506 221,753 665,260 332,630 166,315 498,946 249,473 748,420 374,210 187,105 561,316 280,658 140,329 420,988 210,494 105,247 315,742 157,871 473,614 236,807 710,422 355,211 1,065,634 532,817 1,598,452 799,226 399,613 1,198,840 599,420 299,710 149,855 449,566 224,783 674,350 337,175 1,011,526 505,763 1,517,290 758,645 2,275,936 1,137,968 568,984 284,492 142,246 71,123 213,370 106,685 320,056

More profiles

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