λ
Sigma Notebook

7,797,055

5 × 7 × 222773
Deficient Odd Composite

7,797,055 is odd and not a perfect square. Its factorization is 5 × 7 × 222773 and its 8 divisors sum to 10,693,152.

Prime Factor Structure

Factorization String 5 × 7 × 222773
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,693,152
Proper Divisor Sum 2,896,097
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7797043 ← → #7797071

Radix Representation

Decimal 7797055
Binary 11101101111100100111111 (23 bits)
Octal 0o35574477
Hexadecimal 0x76F93F

Divisor Catalog (8)

1 5 7 35 222,773 1,113,865 1,559,411 7,797,055

Collatz Trajectory (261 steps to reach 1)

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

7,797,055 23,391,166 11,695,583 35,086,750 17,543,375 52,630,126 26,315,063 78,945,190 39,472,595 118,417,786 59,208,893 177,626,680 88,813,340 44,406,670 22,203,335 66,610,006 33,305,003 99,915,010 49,957,505 149,872,516 74,936,258 37,468,129 112,404,388 56,202,194 28,101,097 84,303,292 42,151,646 21,075,823 63,227,470 31,613,735 94,841,206 47,420,603 142,261,810 71,130,905 213,392,716 106,696,358 53,348,179 160,044,538 80,022,269 240,066,808 120,033,404 60,016,702 30,008,351 90,025,054 45,012,527 135,037,582 67,518,791 202,556,374 101,278,187 303,834,562 151,917,281 455,751,844 227,875,922 113,937,961 341,813,884 170,906,942 85,453,471 256,360,414 128,180,207 384,540,622

More profiles

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