λ
Sequence Observatory

8,140,103

8140103
Deficient Odd Prime

Starting at 8,140,103, the Collatz iteration reaches 1 after 243 steps. The first transition is 24420310; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 8140103
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,140,104
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #8140087 ← → #8140109

Radix Representation

Decimal 8140103
Binary 11111000011010101000111 (23 bits)
Octal 0o37032507
Hexadecimal 0x7C3547

Divisor Catalog (2)

Collatz Trajectory (243 steps to reach 1)

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

8,140,103 24,420,310 12,210,155 36,630,466 18,315,233 54,945,700 27,472,850 13,736,425 41,209,276 20,604,638 10,302,319 30,906,958 15,453,479 46,360,438 23,180,219 69,540,658 34,770,329 104,310,988 52,155,494 26,077,747 78,233,242 39,116,621 117,349,864 58,674,932 29,337,466 14,668,733 44,006,200 22,003,100 11,001,550 5,500,775 16,502,326 8,251,163 24,753,490 12,376,745 37,130,236 18,565,118 9,282,559 27,847,678 13,923,839 41,771,518 20,885,759 62,657,278 31,328,639 93,985,918 46,992,959 140,978,878 70,489,439 211,468,318 105,734,159 317,202,478 158,601,239 475,803,718 237,901,859 713,705,578 356,852,789 1,070,558,368 535,279,184 267,639,592 133,819,796 66,909,898

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