λ
Harmonic Matrix

1,418,544

24 × 32 × 9851
Abundant Even Composite

1,418,544 has digital root 9. The neighboring primes are 1418513 and 1418551; its proper-divisor sum differs from the starting integer by 1,133,268.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 9851
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 3,970,356
Proper Divisor Sum 2,551,812
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1418513 ← → #1418551

Radix Representation

Decimal 1418544
Binary 101011010010100110000 (21 bits)
Octal 0o5322460
Hexadecimal 0x15A530

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9,851 19,702 29,553 39,404 59,106 78,808 88,659 118,212 157,616 177,318 236,424 354,636 472,848 709,272 1,418,544

Collatz Trajectory (243 steps to reach 1)

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

1,418,544 709,272 354,636 177,318 88,659 265,978 132,989 398,968 199,484 99,742 49,871 149,614 74,807 224,422 112,211 336,634 168,317 504,952 252,476 126,238 63,119 189,358 94,679 284,038 142,019 426,058 213,029 639,088 319,544 159,772 79,886 39,943 119,830 59,915 179,746 89,873 269,620 134,810 67,405 202,216 101,108 50,554 25,277 75,832 37,916 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999

More profiles

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