λ
Harmonic Matrix

4,307,324

22 × 7 × 17 × 9049
Abundant Even Composite

4,307,324 has digital root 5. The neighboring primes are 4307323 and 4307327; its proper-divisor sum differs from the starting integer by 507,752.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 9049
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,122,400
Proper Divisor Sum 4,815,076
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4307323 ← → #4307327

Radix Representation

Decimal 4307324
Binary 10000011011100101111100 (23 bits)
Octal 0o20334574
Hexadecimal 0x41B97C

Divisor Catalog (24)

1 2 4 7 14 17 28 34 68 119 238 476 9,049 18,098 36,196 63,343 126,686 153,833 253,372 307,666 615,332 1,076,831 2,153,662 4,307,324

Collatz Trajectory (211 steps to reach 1)

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

4,307,324 2,153,662 1,076,831 3,230,494 1,615,247 4,845,742 2,422,871 7,268,614 3,634,307 10,902,922 5,451,461 16,354,384 8,177,192 4,088,596 2,044,298 1,022,149 3,066,448 1,533,224 766,612 383,306 191,653 574,960 287,480 143,740 71,870 35,935 107,806 53,903 161,710 80,855 242,566 121,283 363,850 181,925 545,776 272,888 136,444 68,222 34,111 102,334 51,167 153,502 76,751 230,254 115,127 345,382 172,691 518,074 259,037 777,112 388,556 194,278 97,139 291,418 145,709 437,128 218,564 109,282 54,641 163,924

More profiles

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