λ
Ratio Atlas

34,845,010

2 × 5 × 3484501
Deficient Even Composite

34,845,010 factors as 2 × 5 × 3484501. Its 8 positive divisors give a proper-divisor sum of 27,876,026, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2 × 5 × 3484501
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 62,721,036
Proper Divisor Sum 27,876,026
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #34844989 ← → #34845029

Radix Representation

Decimal 34845010
Binary 10000100111011000101010010 (26 bits)
Octal 0o204730522
Hexadecimal 0x213B152

Divisor Catalog (8)

Collatz Trajectory (183 steps to reach 1)

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

34,845,010 17,422,505 52,267,516 26,133,758 13,066,879 39,200,638 19,600,319 58,800,958 29,400,479 88,201,438 44,100,719 132,302,158 66,151,079 198,453,238 99,226,619 297,679,858 148,839,929 446,519,788 223,259,894 111,629,947 334,889,842 167,444,921 502,334,764 251,167,382 125,583,691 376,751,074 188,375,537 565,126,612 282,563,306 141,281,653 423,844,960 211,922,480 105,961,240 52,980,620 26,490,310 13,245,155 39,735,466 19,867,733 59,603,200 29,801,600 14,900,800 7,450,400 3,725,200 1,862,600 931,300 465,650 232,825 698,476 349,238 174,619 523,858 261,929 785,788 392,894 196,447 589,342 294,671 884,014 442,007 1,326,022

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