λ
Harmonic Matrix

5,463,964

22 × 11 × 124181
Deficient Even Composite

5,463,964 has digital root 1. The neighboring primes are 5463961 and 5464003; its proper-divisor sum differs from the starting integer by -496,640.

Prime Factor Structure

Factorization String 2^2 × 11 × 124181
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,431,288
Proper Divisor Sum 4,967,324
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5463961 ← → #5464003

Radix Representation

Decimal 5463964
Binary 10100110101111110011100 (23 bits)
Octal 0o24657634
Hexadecimal 0x535F9C

Divisor Catalog (12)

1 2 4 11 22 44 124,181 248,362 496,724 1,365,991 2,731,982 5,463,964

Collatz Trajectory (201 steps to reach 1)

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

5,463,964 2,731,982 1,365,991 4,097,974 2,048,987 6,146,962 3,073,481 9,220,444 4,610,222 2,305,111 6,915,334 3,457,667 10,373,002 5,186,501 15,559,504 7,779,752 3,889,876 1,944,938 972,469 2,917,408 1,458,704 729,352 364,676 182,338 91,169 273,508 136,754 68,377 205,132 102,566 51,283 153,850 76,925 230,776 115,388 57,694 28,847 86,542 43,271 129,814 64,907 194,722 97,361 292,084 146,042 73,021 219,064 109,532 54,766 27,383 82,150 41,075 123,226 61,613 184,840 92,420 46,210 23,105 69,316 34,658

More profiles

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