λ
Harmonic Matrix

6,133,914

2 × 33 × 113591
Abundant Even Composite

6,133,914 has digital root 9. The neighboring primes are 6133913 and 6133921; its proper-divisor sum differs from the starting integer by 1,363,212.

Prime Factor Structure

Factorization String 2 × 3^3 × 113591
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,631,040
Proper Divisor Sum 7,497,126
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6133913 ← → #6133921

Radix Representation

Decimal 6133914
Binary 10111011001100010011010 (23 bits)
Octal 0o27314232
Hexadecimal 0x5D989A

Divisor Catalog (16)

1 2 3 6 9 18 27 54 113,591 227,182 340,773 681,546 1,022,319 2,044,638 3,066,957 6,133,914

Collatz Trajectory (134 steps to reach 1)

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

6,133,914 3,066,957 9,200,872 4,600,436 2,300,218 1,150,109 3,450,328 1,725,164 862,582 431,291 1,293,874 646,937 1,940,812 970,406 485,203 1,455,610 727,805 2,183,416 1,091,708 545,854 272,927 818,782 409,391 1,228,174 614,087 1,842,262 921,131 2,763,394 1,381,697 4,145,092 2,072,546 1,036,273 3,108,820 1,554,410 777,205 2,331,616 1,165,808 582,904 291,452 145,726 72,863 218,590 109,295 327,886 163,943 491,830 245,915 737,746 368,873 1,106,620 553,310 276,655 829,966 414,983 1,244,950 622,475 1,867,426 933,713 2,801,140 1,400,570

More profiles

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