λ
Sequence Observatory

3,777,311

3777311
Deficient Odd Prime

Starting at 3,777,311, the Collatz iteration reaches 1 after 110 steps. The first transition is 11331934; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 3777311
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,777,312
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3777307 ← → #3777317

Radix Representation

Decimal 3777311
Binary 1110011010001100011111 (22 bits)
Octal 0o16321437
Hexadecimal 0x39A31F

Divisor Catalog (2)

Collatz Trajectory (110 steps to reach 1)

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

3,777,311 11,331,934 5,665,967 16,997,902 8,498,951 25,496,854 12,748,427 38,245,282 19,122,641 57,367,924 28,683,962 14,341,981 43,025,944 21,512,972 10,756,486 5,378,243 16,134,730 8,067,365 24,202,096 12,101,048 6,050,524 3,025,262 1,512,631 4,537,894 2,268,947 6,806,842 3,403,421 10,210,264 5,105,132 2,552,566 1,276,283 3,828,850 1,914,425 5,743,276 2,871,638 1,435,819 4,307,458 2,153,729 6,461,188 3,230,594 1,615,297 4,845,892 2,422,946 1,211,473 3,634,420 1,817,210 908,605 2,725,816 1,362,908 681,454 340,727 1,022,182 511,091 1,533,274 766,637 2,299,912 1,149,956 574,978 287,489 862,468

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