λ
Harmonic Matrix

1,598,244

22 × 3 × 133187
Abundant Even Composite

1,598,244 has digital root 6. The neighboring primes are 1598239 and 1598257; its proper-divisor sum differs from the starting integer by 532,776.

Prime Factor Structure

Factorization String 2^2 × 3 × 133187
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,729,264
Proper Divisor Sum 2,131,020
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1598239 ← → #1598257

Radix Representation

Decimal 1598244
Binary 110000110001100100100 (21 bits)
Octal 0o6061444
Hexadecimal 0x186324

Divisor Catalog (12)

1 2 3 4 6 12 133,187 266,374 399,561 532,748 799,122 1,598,244

Collatz Trajectory (207 steps to reach 1)

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

1,598,244 799,122 399,561 1,198,684 599,342 299,671 899,014 449,507 1,348,522 674,261 2,022,784 1,011,392 505,696 252,848 126,424 63,212 31,606 15,803 47,410 23,705 71,116 35,558 17,779 53,338 26,669 80,008 40,004 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151

More profiles

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