λ
Harmonic Matrix

3,619,855

5 × 23 × 31477
Deficient Odd Composite

3,619,855 has digital root 1. The neighboring primes are 3619843 and 3619873; its proper-divisor sum differs from the starting integer by -2,706,878.

Prime Factor Structure

Factorization String 5 × 23 × 31477
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,532,832
Proper Divisor Sum 912,977
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3619843 ← → #3619873

Radix Representation

Decimal 3619855
Binary 1101110011110000001111 (22 bits)
Octal 0o15636017
Hexadecimal 0x373C0F

Divisor Catalog (8)

1 5 23 115 31,477 157,385 723,971 3,619,855

Collatz Trajectory (141 steps to reach 1)

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

3,619,855 10,859,566 5,429,783 16,289,350 8,144,675 24,434,026 12,217,013 36,651,040 18,325,520 9,162,760 4,581,380 2,290,690 1,145,345 3,436,036 1,718,018 859,009 2,577,028 1,288,514 644,257 1,932,772 966,386 483,193 1,449,580 724,790 362,395 1,087,186 543,593 1,630,780 815,390 407,695 1,223,086 611,543 1,834,630 917,315 2,751,946 1,375,973 4,127,920 2,063,960 1,031,980 515,990 257,995 773,986 386,993 1,160,980 580,490 290,245 870,736 435,368 217,684 108,842 54,421 163,264 81,632 40,816 20,408 10,204 5,102 2,551 7,654 3,827

More profiles

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