λ
Ratio Atlas

7,734,409

7734409
Deficient Odd Prime

7,734,409 factors as 7734409. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 310 steps.

Prime Factor Structure

Factorization String 7734409
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,734,410
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7734403 ← → #7734437

Radix Representation

Decimal 7734409
Binary 11101100000010010001001 (23 bits)
Octal 0o35402211
Hexadecimal 0x760489

Divisor Catalog (2)

Collatz Trajectory (310 steps to reach 1)

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

7,734,409 23,203,228 11,601,614 5,800,807 17,402,422 8,701,211 26,103,634 13,051,817 39,155,452 19,577,726 9,788,863 29,366,590 14,683,295 44,049,886 22,024,943 66,074,830 33,037,415 99,112,246 49,556,123 148,668,370 74,334,185 223,002,556 111,501,278 55,750,639 167,251,918 83,625,959 250,877,878 125,438,939 376,316,818 188,158,409 564,475,228 282,237,614 141,118,807 423,356,422 211,678,211 635,034,634 317,517,317 952,551,952 476,275,976 238,137,988 119,068,994 59,534,497 178,603,492 89,301,746 44,650,873 133,952,620 66,976,310 33,488,155 100,464,466 50,232,233 150,696,700 75,348,350 37,674,175 113,022,526 56,511,263 169,533,790 84,766,895 254,300,686 127,150,343 381,451,030

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