λ
Sequence Observatory

9,102,759

3 × 3034253
Deficient Odd Composite

Starting at 9,102,759, the Collatz iteration reaches 1 after 137 steps. The first transition is 27308278; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 3034253
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,137,016
Proper Divisor Sum 3,034,257
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9102757 ← → #9102763

Radix Representation

Decimal 9102759
Binary 100010101110010110100111 (24 bits)
Octal 0o42562647
Hexadecimal 0x8AE5A7

Divisor Catalog (4)

1 3 3,034,253 9,102,759

Collatz Trajectory (137 steps to reach 1)

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

9,102,759 27,308,278 13,654,139 40,962,418 20,481,209 61,443,628 30,721,814 15,360,907 46,082,722 23,041,361 69,124,084 34,562,042 17,281,021 51,843,064 25,921,532 12,960,766 6,480,383 19,441,150 9,720,575 29,161,726 14,580,863 43,742,590 21,871,295 65,613,886 32,806,943 98,420,830 49,210,415 147,631,246 73,815,623 221,446,870 110,723,435 332,170,306 166,085,153 498,255,460 249,127,730 124,563,865 373,691,596 186,845,798 93,422,899 280,268,698 140,134,349 420,403,048 210,201,524 105,100,762 52,550,381 157,651,144 78,825,572 39,412,786 19,706,393 59,119,180 29,559,590 14,779,795 44,339,386 22,169,693 66,509,080 33,254,540 16,627,270 8,313,635 24,940,906 12,470,453

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