λ
Ratio Atlas

2,757,617

2757617
Deficient Odd Prime

2,757,617 factors as 2757617. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 306 steps.

Prime Factor Structure

Factorization String 2757617
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,757,618
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2757611 ← → #2757649

Radix Representation

Decimal 2757617
Binary 1010100001001111110001 (22 bits)
Octal 0o12411761
Hexadecimal 0x2A13F1

Divisor Catalog (2)

Collatz Trajectory (306 steps to reach 1)

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

2,757,617 8,272,852 4,136,426 2,068,213 6,204,640 3,102,320 1,551,160 775,580 387,790 193,895 581,686 290,843 872,530 436,265 1,308,796 654,398 327,199 981,598 490,799 1,472,398 736,199 2,208,598 1,104,299 3,312,898 1,656,449 4,969,348 2,484,674 1,242,337 3,727,012 1,863,506 931,753 2,795,260 1,397,630 698,815 2,096,446 1,048,223 3,144,670 1,572,335 4,717,006 2,358,503 7,075,510 3,537,755 10,613,266 5,306,633 15,919,900 7,959,950 3,979,975 11,939,926 5,969,963 17,909,890 8,954,945 26,864,836 13,432,418 6,716,209 20,148,628 10,074,314 5,037,157 15,111,472 7,555,736 3,777,868

More profiles

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