λ
Sequence Observatory

2,315,583

32 × 257287
Deficient Odd Composite

Starting at 2,315,583, the Collatz iteration reaches 1 after 161 steps. The first transition is 6946750; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 257287
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 3,344,744
Proper Divisor Sum 1,029,161
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2315581 ← → #2315597

Radix Representation

Decimal 2315583
Binary 1000110101010100111111 (22 bits)
Octal 0o10652477
Hexadecimal 0x23553F

Divisor Catalog (6)

1 3 9 257,287 771,861 2,315,583

Collatz Trajectory (161 steps to reach 1)

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

2,315,583 6,946,750 3,473,375 10,420,126 5,210,063 15,630,190 7,815,095 23,445,286 11,722,643 35,167,930 17,583,965 52,751,896 26,375,948 13,187,974 6,593,987 19,781,962 9,890,981 29,672,944 14,836,472 7,418,236 3,709,118 1,854,559 5,563,678 2,781,839 8,345,518 4,172,759 12,518,278 6,259,139 18,777,418 9,388,709 28,166,128 14,083,064 7,041,532 3,520,766 1,760,383 5,281,150 2,640,575 7,921,726 3,960,863 11,882,590 5,941,295 17,823,886 8,911,943 26,735,830 13,367,915 40,103,746 20,051,873 60,155,620 30,077,810 15,038,905 45,116,716 22,558,358 11,279,179 33,837,538 16,918,769 50,756,308 25,378,154 12,689,077 38,067,232 19,033,616

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