λ
Harmonic Matrix

2,324,036

22 × 11 × 13 × 17 × 239
Abundant Even Composite

2,324,036 has digital root 2. The neighboring primes are 2324033 and 2324093; its proper-divisor sum differs from the starting integer by 432,248.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 17 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,080,320
Proper Divisor Sum 2,756,284
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2324033 ← → #2324093

Radix Representation

Decimal 2324036
Binary 1000110111011001000100 (22 bits)
Octal 0o10673104
Hexadecimal 0x237644

Divisor Catalog (48)

1 2 4 11 13 17 22 26 34 44 52 68 143 187 221 239 286 374 442 478 572 748 884 956 2,431 2,629 3,107 4,063 4,862 5,258 6,214 8,126 9,724 10,516 12,428 16,252 34,177 44,693 52,819 68,354 89,386 105,638 136,708 178,772 211,276 581,009 1,162,018 2,324,036

Collatz Trajectory (192 steps to reach 1)

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

2,324,036 1,162,018 581,009 1,743,028 871,514 435,757 1,307,272 653,636 326,818 163,409 490,228 245,114 122,557 367,672 183,836 91,918 45,959 137,878 68,939 206,818 103,409 310,228 155,114 77,557 232,672 116,336 58,168 29,084 14,542 7,271 21,814 10,907 32,722 16,361 49,084 24,542 12,271 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744

More profiles

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