6,117,435

3² × 5 × 67 × 2029

6,117,435 factors as 3^2 × 5 × 67 × 2029. Its 24 positive divisors give a proper-divisor sum of 4,649,685, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 67 × 2029

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,767,120

Proper Divisor Sum 4,649,685

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6117409 ← → #6117437

Radix Representation

Decimal	6117435
Binary	10111010101100000111011 (23 bits)
Octal	0o27254073
Hexadecimal	0x5D583B

Divisor Catalog (24)

1 3 5 9 15 45 67 201 335 603 1,005 2,029 3,015 6,087 10,145 18,261 30,435 91,305 135,943 407,829 679,715 1,223,487 2,039,145 6,117,435

Collatz Trajectory (196 steps to reach 1)

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

6,117,435 18,352,306 9,176,153 27,528,460 13,764,230 6,882,115 20,646,346 10,323,173 30,969,520 15,484,760 7,742,380 3,871,190 1,935,595 5,806,786 2,903,393 8,710,180 4,355,090 2,177,545 6,532,636 3,266,318 1,633,159 4,899,478 2,449,739 7,349,218 3,674,609 11,023,828 5,511,914 2,755,957 8,267,872 4,133,936 2,066,968 1,033,484 516,742 258,371 775,114 387,557 1,162,672 581,336 290,668 145,334 72,667 218,002 109,001 327,004 163,502 81,751 245,254 122,627 367,882 183,941 551,824 275,912 137,956 68,978 34,489 103,468 51,734 25,867 77,602 38,801

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