λ
Sequence Observatory

2,740,223

2740223
Deficient Odd Prime

Starting at 2,740,223, the Collatz iteration reaches 1 after 200 steps. The first transition is 8220670; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2740223
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,740,224
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2740219 ← → #2740249

Radix Representation

Decimal 2740223
Binary 1010011100111111111111 (22 bits)
Octal 0o12347777
Hexadecimal 0x29CFFF

Divisor Catalog (2)

Collatz Trajectory (200 steps to reach 1)

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

2,740,223 8,220,670 4,110,335 12,331,006 6,165,503 18,496,510 9,248,255 27,744,766 13,872,383 41,617,150 20,808,575 62,425,726 31,212,863 93,638,590 46,819,295 140,457,886 70,228,943 210,686,830 105,343,415 316,030,246 158,015,123 474,045,370 237,022,685 711,068,056 355,534,028 177,767,014 88,883,507 266,650,522 133,325,261 399,975,784 199,987,892 99,993,946 49,996,973 149,990,920 74,995,460 37,497,730 18,748,865 56,246,596 28,123,298 14,061,649 42,184,948 21,092,474 10,546,237 31,638,712 15,819,356 7,909,678 3,954,839 11,864,518 5,932,259 17,796,778 8,898,389 26,695,168 13,347,584 6,673,792 3,336,896 1,668,448 834,224 417,112 208,556 104,278

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