λ
Ratio Atlas

34,246,727

59 × 563 × 1031
Deficient Odd Composite

34,246,727 factors as 59 × 563 × 1031. Its 8 positive divisors give a proper-divisor sum of 676,153, so this integer is deficient. The Collatz stopping time is 382 steps.

Prime Factor Structure

Factorization String 59 × 563 × 1031
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 34,922,880
Proper Divisor Sum 676,153
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #34246699 ← → #34246757

Radix Representation

Decimal 34246727
Binary 10000010101001000001000111 (26 bits)
Octal 0o202510107
Hexadecimal 0x20A9047

Divisor Catalog (8)

Collatz Trajectory (382 steps to reach 1)

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

34,246,727 102,740,182 51,370,091 154,110,274 77,055,137 231,165,412 115,582,706 57,791,353 173,374,060 86,687,030 43,343,515 130,030,546 65,015,273 195,045,820 97,522,910 48,761,455 146,284,366 73,142,183 219,426,550 109,713,275 329,139,826 164,569,913 493,709,740 246,854,870 123,427,435 370,282,306 185,141,153 555,423,460 277,711,730 138,855,865 416,567,596 208,283,798 104,141,899 312,425,698 156,212,849 468,638,548 234,319,274 117,159,637 351,478,912 175,739,456 87,869,728 43,934,864 21,967,432 10,983,716 5,491,858 2,745,929 8,237,788 4,118,894 2,059,447 6,178,342 3,089,171 9,267,514 4,633,757 13,901,272 6,950,636 3,475,318 1,737,659 5,212,978 2,606,489 7,819,468

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