λ
Sequence Observatory

9,688,319

9688319
Deficient Odd Prime

Starting at 9,688,319, the Collatz iteration reaches 1 after 344 steps. The first transition is 29064958; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 9688319
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,688,320
Proper Divisor Sum 1
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9688297 ← → #9688361

Radix Representation

Decimal 9688319
Binary 100100111101010011111111 (24 bits)
Octal 0o44752377
Hexadecimal 0x93D4FF

Divisor Catalog (2)

1 9,688,319

Collatz Trajectory (344 steps to reach 1)

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

9,688,319 29,064,958 14,532,479 43,597,438 21,798,719 65,396,158 32,698,079 98,094,238 49,047,119 147,141,358 73,570,679 220,712,038 110,356,019 331,068,058 165,534,029 496,602,088 248,301,044 124,150,522 62,075,261 186,225,784 93,112,892 46,556,446 23,278,223 69,834,670 34,917,335 104,752,006 52,376,003 157,128,010 78,564,005 235,692,016 117,846,008 58,923,004 29,461,502 14,730,751 44,192,254 22,096,127 66,288,382 33,144,191 99,432,574 49,716,287 149,148,862 74,574,431 223,723,294 111,861,647 335,584,942 167,792,471 503,377,414 251,688,707 755,066,122 377,533,061 1,132,599,184 566,299,592 283,149,796 141,574,898 70,787,449 212,362,348 106,181,174 53,090,587 159,271,762 79,635,881

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