λ
Sequence Observatory

7,587,962

2 × 47 × 89 × 907
Deficient Even Composite

Starting at 7,587,962, the Collatz iteration reaches 1 after 103 steps. The first transition is 3793981; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 47 × 89 × 907
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,767,680
Proper Divisor Sum 4,179,718
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7587961 ← → #7587977

Radix Representation

Decimal 7587962
Binary 11100111100100001111010 (23 bits)
Octal 0o34744172
Hexadecimal 0x73C87A

Divisor Catalog (16)

1 2 47 89 94 178 907 1,814 4,183 8,366 42,629 80,723 85,258 161,446 3,793,981 7,587,962

Collatz Trajectory (103 steps to reach 1)

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

7,587,962 3,793,981 11,381,944 5,690,972 2,845,486 1,422,743 4,268,230 2,134,115 6,402,346 3,201,173 9,603,520 4,801,760 2,400,880 1,200,440 600,220 300,110 150,055 450,166 225,083 675,250 337,625 1,012,876 506,438 253,219 759,658 379,829 1,139,488 569,744 284,872 142,436 71,218 35,609 106,828 53,414 26,707 80,122 40,061 120,184 60,092 30,046 15,023 45,070 22,535 67,606 33,803 101,410 50,705 152,116 76,058 38,029 114,088 57,044 28,522 14,261 42,784 21,392 10,696 5,348 2,674 1,337

More profiles

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