λ
Ratio Atlas

6,220,113

3 × 17 × 121963
Deficient Odd Composite

6,220,113 factors as 3 × 17 × 121963. Its 8 positive divisors give a proper-divisor sum of 2,561,295, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 3 × 17 × 121963
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,781,408
Proper Divisor Sum 2,561,295
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #6220099 ← → #6220117

Radix Representation

Decimal 6220113
Binary 10111101110100101010001 (23 bits)
Octal 0o27564521
Hexadecimal 0x5EE951

Divisor Catalog (8)

1 3 17 51 121,963 365,889 2,073,371 6,220,113

Collatz Trajectory (134 steps to reach 1)

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

6,220,113 18,660,340 9,330,170 4,665,085 13,995,256 6,997,628 3,498,814 1,749,407 5,248,222 2,624,111 7,872,334 3,936,167 11,808,502 5,904,251 17,712,754 8,856,377 26,569,132 13,284,566 6,642,283 19,926,850 9,963,425 29,890,276 14,945,138 7,472,569 22,417,708 11,208,854 5,604,427 16,813,282 8,406,641 25,219,924 12,609,962 6,304,981 18,914,944 9,457,472 4,728,736 2,364,368 1,182,184 591,092 295,546 147,773 443,320 221,660 110,830 55,415 166,246 83,123 249,370 124,685 374,056 187,028 93,514 46,757 140,272 70,136 35,068 17,534 8,767 26,302 13,151 39,454

More profiles

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