λ
Harmonic Matrix

3,698,325

33 × 52 × 5479
Deficient Odd Composite

3,698,325 has digital root 9. The neighboring primes are 3698311 and 3698327; its proper-divisor sum differs from the starting integer by -601,450.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 5479
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,795,200
Proper Divisor Sum 3,096,875
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3698311 ← → #3698327

Radix Representation

Decimal 3698325
Binary 1110000110111010010101 (22 bits)
Octal 0o16067225
Hexadecimal 0x386E95

Divisor Catalog (24)

1 3 5 9 15 25 27 45 75 135 225 675 5,479 16,437 27,395 49,311 82,185 136,975 147,933 246,555 410,925 739,665 1,232,775 3,698,325

Collatz Trajectory (172 steps to reach 1)

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

3,698,325 11,094,976 5,547,488 2,773,744 1,386,872 693,436 346,718 173,359 520,078 260,039 780,118 390,059 1,170,178 585,089 1,755,268 877,634 438,817 1,316,452 658,226 329,113 987,340 493,670 246,835 740,506 370,253 1,110,760 555,380 277,690 138,845 416,536 208,268 104,134 52,067 156,202 78,101 234,304 117,152 58,576 29,288 14,644 7,322 3,661 10,984 5,492 2,746 1,373 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109

More profiles

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