λ
Ratio Atlas

42,889,337

31 × 79 × 83 × 211
Deficient Odd Composite

42,889,337 factors as 31 × 79 × 83 × 211. Its 16 positive divisors give a proper-divisor sum of 2,699,143, so this integer is deficient. The Collatz stopping time is 359 steps.

Prime Factor Structure

Factorization String 31 × 79 × 83 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 45,588,480
Proper Divisor Sum 2,699,143
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #42889307 ← → #42889339

Radix Representation

Decimal 42889337
Binary 10100011100111000001111001 (26 bits)
Octal 0o243470171
Hexadecimal 0x28E7079

Divisor Catalog (16)

Collatz Trajectory (359 steps to reach 1)

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

42,889,337 128,668,012 64,334,006 32,167,003 96,501,010 48,250,505 144,751,516 72,375,758 36,187,879 108,563,638 54,281,819 162,845,458 81,422,729 244,268,188 122,134,094 61,067,047 183,201,142 91,600,571 274,801,714 137,400,857 412,202,572 206,101,286 103,050,643 309,151,930 154,575,965 463,727,896 231,863,948 115,931,974 57,965,987 173,897,962 86,948,981 260,846,944 130,423,472 65,211,736 32,605,868 16,302,934 8,151,467 24,454,402 12,227,201 36,681,604 18,340,802 9,170,401 27,511,204 13,755,602 6,877,801 20,633,404 10,316,702 5,158,351 15,475,054 7,737,527 23,212,582 11,606,291 34,818,874 17,409,437 52,228,312 26,114,156 13,057,078 6,528,539 19,585,618 9,792,809

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