λ
Harmonic Matrix

2,304,696

23 × 3 × 109 × 881
Abundant Even Composite

2,304,696 has digital root 3. The neighboring primes are 2304691 and 2304721; its proper-divisor sum differs from the starting integer by 1,211,808.

Prime Factor Structure

Factorization String 2^3 × 3 × 109 × 881
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,821,200
Proper Divisor Sum 3,516,504
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2304691 ← → #2304721

Radix Representation

Decimal 2304696
Binary 1000110010101010111000 (22 bits)
Octal 0o10625270
Hexadecimal 0x232AB8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 109 218 327 436 654 872 881 1,308 1,762 2,616 2,643 3,524 5,286 7,048 10,572 21,144 96,029 192,058 288,087 384,116 576,174 768,232 1,152,348 2,304,696

Collatz Trajectory (148 steps to reach 1)

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

2,304,696 1,152,348 576,174 288,087 864,262 432,131 1,296,394 648,197 1,944,592 972,296 486,148 243,074 121,537 364,612 182,306 91,153 273,460 136,730 68,365 205,096 102,548 51,274 25,637 76,912 38,456 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412

More profiles

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