λ
Harmonic Matrix

3,615,994

2 × 1807997
Deficient Even Composite

3,615,994 has digital root 1. The neighboring primes are 3615977 and 3616001; its proper-divisor sum differs from the starting integer by -1,807,994.

Prime Factor Structure

Factorization String 2 × 1807997
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,423,994
Proper Divisor Sum 1,808,000
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3615977 ← → #3616001

Radix Representation

Decimal 3615994
Binary 1101110010110011111010 (22 bits)
Octal 0o15626372
Hexadecimal 0x372CFA

Divisor Catalog (4)

1 2 1,807,997 3,615,994

Collatz Trajectory (141 steps to reach 1)

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

3,615,994 1,807,997 5,423,992 2,711,996 1,355,998 677,999 2,033,998 1,016,999 3,050,998 1,525,499 4,576,498 2,288,249 6,864,748 3,432,374 1,716,187 5,148,562 2,574,281 7,722,844 3,861,422 1,930,711 5,792,134 2,896,067 8,688,202 4,344,101 13,032,304 6,516,152 3,258,076 1,629,038 814,519 2,443,558 1,221,779 3,665,338 1,832,669 5,498,008 2,749,004 1,374,502 687,251 2,061,754 1,030,877 3,092,632 1,546,316 773,158 386,579 1,159,738 579,869 1,739,608 869,804 434,902 217,451 652,354 326,177 978,532 489,266 244,633 733,900 366,950 183,475 550,426 275,213 825,640

More profiles

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