λ
Sequence Observatory

914,301

33 × 33863
Deficient Odd Composite

Starting at 914,301, the Collatz iteration reaches 1 after 139 steps. The first transition is 2742904; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 33863
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,354,560
Proper Divisor Sum 440,259
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #914293 ← → #914321

Radix Representation

Decimal 914301
Binary 11011111001101111101 (20 bits)
Octal 0o3371575
Hexadecimal 0xDF37D

Divisor Catalog (8)

1 3 9 27 33,863 101,589 304,767 914,301

Collatz Trajectory (139 steps to reach 1)

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

914,301 2,742,904 1,371,452 685,726 342,863 1,028,590 514,295 1,542,886 771,443 2,314,330 1,157,165 3,471,496 1,735,748 867,874 433,937 1,301,812 650,906 325,453 976,360 488,180 244,090 122,045 366,136 183,068 91,534 45,767 137,302 68,651 205,954 102,977 308,932 154,466 77,233 231,700 115,850 57,925 173,776 86,888 43,444 21,722 10,861 32,584 16,292 8,146 4,073 12,220 6,110 3,055 9,166 4,583 13,750 6,875 20,626 10,313 30,940 15,470 7,735 23,206 11,603 34,810

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