λ
Sequence Observatory

8,236,903

37 × 222619
Deficient Odd Composite

Starting at 8,236,903, the Collatz iteration reaches 1 after 243 steps. The first transition is 24710710; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 37 × 222619
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,459,560
Proper Divisor Sum 222,657
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8236883 ← → #8236919

Radix Representation

Decimal 8236903
Binary 11111011010111101100111 (23 bits)
Octal 0o37327547
Hexadecimal 0x7DAF67

Divisor Catalog (4)

1 37 222,619 8,236,903

Collatz Trajectory (243 steps to reach 1)

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

8,236,903 24,710,710 12,355,355 37,066,066 18,533,033 55,599,100 27,799,550 13,899,775 41,699,326 20,849,663 62,548,990 31,274,495 93,823,486 46,911,743 140,735,230 70,367,615 211,102,846 105,551,423 316,654,270 158,327,135 474,981,406 237,490,703 712,472,110 356,236,055 1,068,708,166 534,354,083 1,603,062,250 801,531,125 2,404,593,376 1,202,296,688 601,148,344 300,574,172 150,287,086 75,143,543 225,430,630 112,715,315 338,145,946 169,072,973 507,218,920 253,609,460 126,804,730 63,402,365 190,207,096 95,103,548 47,551,774 23,775,887 71,327,662 35,663,831 106,991,494 53,495,747 160,487,242 80,243,621 240,730,864 120,365,432 60,182,716 30,091,358 15,045,679 45,137,038 22,568,519 67,705,558

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