λ
Harmonic Matrix

3,597,706

2 × 7 × 23 × 11173
Deficient Even Composite

3,597,706 has digital root 1. The neighboring primes are 3597703 and 3597749; its proper-divisor sum differs from the starting integer by -759,188.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 11173
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,436,224
Proper Divisor Sum 2,838,518
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3597703 ← → #3597749

Radix Representation

Decimal 3597706
Binary 1101101110010110001010 (22 bits)
Octal 0o15562612
Hexadecimal 0x36E58A

Divisor Catalog (16)

1 2 7 14 23 46 161 322 11,173 22,346 78,211 156,422 256,979 513,958 1,798,853 3,597,706

Collatz Trajectory (141 steps to reach 1)

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

3,597,706 1,798,853 5,396,560 2,698,280 1,349,140 674,570 337,285 1,011,856 505,928 252,964 126,482 63,241 189,724 94,862 47,431 142,294 71,147 213,442 106,721 320,164 160,082 80,041 240,124 120,062 60,031 180,094 90,047 270,142 135,071 405,214 202,607 607,822 303,911 911,734 455,867 1,367,602 683,801 2,051,404 1,025,702 512,851 1,538,554 769,277 2,307,832 1,153,916 576,958 288,479 865,438 432,719 1,298,158 649,079 1,947,238 973,619 2,920,858 1,460,429 4,381,288 2,190,644 1,095,322 547,661 1,642,984 821,492

More profiles

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