λ
Harmonic Matrix

4,360,900

22 × 52 × 43609
Abundant Even Composite

4,360,900 has digital root 4. The neighboring primes are 4360849 and 4360907; its proper-divisor sum differs from the starting integer by 741,570.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 43609
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 9,463,370
Proper Divisor Sum 5,102,470
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4360849 ← → #4360907

Radix Representation

Decimal 4360900
Binary 10000101000101011000100 (23 bits)
Octal 0o20505304
Hexadecimal 0x428AC4

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 43,609 87,218 174,436 218,045 436,090 872,180 1,090,225 2,180,450 4,360,900

Collatz Trajectory (180 steps to reach 1)

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

4,360,900 2,180,450 1,090,225 3,270,676 1,635,338 817,669 2,453,008 1,226,504 613,252 306,626 153,313 459,940 229,970 114,985 344,956 172,478 86,239 258,718 129,359 388,078 194,039 582,118 291,059 873,178 436,589 1,309,768 654,884 327,442 163,721 491,164 245,582 122,791 368,374 184,187 552,562 276,281 828,844 414,422 207,211 621,634 310,817 932,452 466,226 233,113 699,340 349,670 174,835 524,506 262,253 786,760 393,380 196,690 98,345 295,036 147,518 73,759 221,278 110,639 331,918 165,959

More profiles

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