6,141,219

3 × 7² × 41777

6,141,219 has digital root 6. The neighboring primes are 6141209 and 6141229; its proper-divisor sum differs from the starting integer by -2,757,054.

Prime Factor Structure

Factorization String 3 × 7^2 × 41777

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,525,384

Proper Divisor Sum 3,384,165

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6141209 ← → #6141229

Radix Representation

Decimal	6141219
Binary	10111011011010100100011 (23 bits)
Octal	0o27332443
Hexadecimal	0x5DB523

Divisor Catalog (12)

1 3 7 21 49 147 41,777 125,331 292,439 877,317 2,047,073 6,141,219

Collatz Trajectory (108 steps to reach 1)

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

6,141,219 18,423,658 9,211,829 27,635,488 13,817,744 6,908,872 3,454,436 1,727,218 863,609 2,590,828 1,295,414 647,707 1,943,122 971,561 2,914,684 1,457,342 728,671 2,186,014 1,093,007 3,279,022 1,639,511 4,918,534 2,459,267 7,377,802 3,688,901 11,066,704 5,533,352 2,766,676 1,383,338 691,669 2,075,008 1,037,504 518,752 259,376 129,688 64,844 32,422 16,211 48,634 24,317 72,952 36,476 18,238 9,119 27,358 13,679 41,038 20,519 61,558 30,779 92,338 46,169 138,508 69,254 34,627 103,882 51,941 155,824 77,912 38,956

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