λ
Ratio Atlas

34,067,567

43 × 73 × 10853
Deficient Odd Composite

34,067,567 factors as 43 × 73 × 10853. Its 8 positive divisors give a proper-divisor sum of 1,273,057, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 43 × 73 × 10853
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 35,340,624
Proper Divisor Sum 1,273,057
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #34067549 ← → #34067569

Radix Representation

Decimal 34067567
Binary 10000001111101010001101111 (26 bits)
Octal 0o201752157
Hexadecimal 0x207D46F

Divisor Catalog (8)

Collatz Trajectory (139 steps to reach 1)

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

34,067,567 102,202,702 51,101,351 153,304,054 76,652,027 229,956,082 114,978,041 344,934,124 172,467,062 86,233,531 258,700,594 129,350,297 388,050,892 194,025,446 97,012,723 291,038,170 145,519,085 436,557,256 218,278,628 109,139,314 54,569,657 163,708,972 81,854,486 40,927,243 122,781,730 61,390,865 184,172,596 92,086,298 46,043,149 138,129,448 69,064,724 34,532,362 17,266,181 51,798,544 25,899,272 12,949,636 6,474,818 3,237,409 9,712,228 4,856,114 2,428,057 7,284,172 3,642,086 1,821,043 5,463,130 2,731,565 8,194,696 4,097,348 2,048,674 1,024,337 3,073,012 1,536,506 768,253 2,304,760 1,152,380 576,190 288,095 864,286 432,143 1,296,430

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