λ
Harmonic Matrix

3,681,694

2 × 1840847
Deficient Even Composite

3,681,694 has digital root 1. The neighboring primes are 3681683 and 3681697; its proper-divisor sum differs from the starting integer by -1,840,844.

Prime Factor Structure

Factorization String 2 × 1840847
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,522,544
Proper Divisor Sum 1,840,850
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3681683 ← → #3681697

Radix Representation

Decimal 3681694
Binary 1110000010110110011110 (22 bits)
Octal 0o16026636
Hexadecimal 0x382D9E

Divisor Catalog (4)

1 2 1,840,847 3,681,694

Collatz Trajectory (190 steps to reach 1)

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

3,681,694 1,840,847 5,522,542 2,761,271 8,283,814 4,141,907 12,425,722 6,212,861 18,638,584 9,319,292 4,659,646 2,329,823 6,989,470 3,494,735 10,484,206 5,242,103 15,726,310 7,863,155 23,589,466 11,794,733 35,384,200 17,692,100 8,846,050 4,423,025 13,269,076 6,634,538 3,317,269 9,951,808 4,975,904 2,487,952 1,243,976 621,988 310,994 155,497 466,492 233,246 116,623 349,870 174,935 524,806 262,403 787,210 393,605 1,180,816 590,408 295,204 147,602 73,801 221,404 110,702 55,351 166,054 83,027 249,082 124,541 373,624 186,812 93,406 46,703 140,110

More profiles

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