λ
Match Zalai

2,629,135

5 × 17 × 30931
Deficient Odd Composite

2,629,135 factors as 5 × 17 × 30931. Its 8 positive divisors give a proper-divisor sum of 711,521, so this integer is deficient. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 5 × 17 × 30931
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,340,656
Proper Divisor Sum 711,521
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2629129 ← → #2629139

Radix Representation

Decimal 2629135
Binary 1010000001111000001111 (22 bits)
Octal 0o12017017
Hexadecimal 0x281E0F

Divisor Catalog (8)

1 5 17 85 30,931 154,655 525,827 2,629,135

Collatz Trajectory (68 steps to reach 1)

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

2,629,135 7,887,406 3,943,703 11,831,110 5,915,555 17,746,666 8,873,333 26,620,000 13,310,000 6,655,000 3,327,500 1,663,750 831,875 2,495,626 1,247,813 3,743,440 1,871,720 935,860 467,930 233,965 701,896 350,948 175,474 87,737 263,212 131,606 65,803 197,410 98,705 296,116 148,058 74,029 222,088 111,044 55,522 27,761 83,284 41,642 20,821 62,464 31,232 15,616 7,808 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80

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