λ
Ratio Atlas

4,075,679

4075679
Deficient Odd Prime

4,075,679 factors as 4075679. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 4075679
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,075,680
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4075657 ← → #4075693

Radix Representation

Decimal 4075679
Binary 1111100011000010011111 (22 bits)
Octal 0o17430237
Hexadecimal 0x3E309F

Divisor Catalog (2)

Collatz Trajectory (198 steps to reach 1)

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

4,075,679 12,227,038 6,113,519 18,340,558 9,170,279 27,510,838 13,755,419 41,266,258 20,633,129 61,899,388 30,949,694 15,474,847 46,424,542 23,212,271 69,636,814 34,818,407 104,455,222 52,227,611 156,682,834 78,341,417 235,024,252 117,512,126 58,756,063 176,268,190 88,134,095 264,402,286 132,201,143 396,603,430 198,301,715 594,905,146 297,452,573 892,357,720 446,178,860 223,089,430 111,544,715 334,634,146 167,317,073 501,951,220 250,975,610 125,487,805 376,463,416 188,231,708 94,115,854 47,057,927 141,173,782 70,586,891 211,760,674 105,880,337 317,641,012 158,820,506 79,410,253 238,230,760 119,115,380 59,557,690 29,778,845 89,336,536 44,668,268 22,334,134 11,167,067 33,501,202

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