λ
Harmonic Matrix

6,117,537

3 × 2039179
Deficient Odd Composite

6,117,537 has digital root 3. The neighboring primes are 6117491 and 6117541; its proper-divisor sum differs from the starting integer by -4,078,354.

Prime Factor Structure

Factorization String 3 × 2039179
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,156,720
Proper Divisor Sum 2,039,183
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6117491 ← → #6117541

Radix Representation

Decimal 6117537
Binary 10111010101100010100001 (23 bits)
Octal 0o27254241
Hexadecimal 0x5D58A1

Divisor Catalog (4)

1 3 2,039,179 6,117,537

Collatz Trajectory (139 steps to reach 1)

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

6,117,537 18,352,612 9,176,306 4,588,153 13,764,460 6,882,230 3,441,115 10,323,346 5,161,673 15,485,020 7,742,510 3,871,255 11,613,766 5,806,883 17,420,650 8,710,325 26,130,976 13,065,488 6,532,744 3,266,372 1,633,186 816,593 2,449,780 1,224,890 612,445 1,837,336 918,668 459,334 229,667 689,002 344,501 1,033,504 516,752 258,376 129,188 64,594 32,297 96,892 48,446 24,223 72,670 36,335 109,006 54,503 163,510 81,755 245,266 122,633 367,900 183,950 91,975 275,926 137,963 413,890 206,945 620,836 310,418 155,209 465,628 232,814

More profiles

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