λ
Sequence Observatory

1,307,861

17 × 107 × 719
Deficient Odd Composite

Starting at 1,307,861, the Collatz iteration reaches 1 after 98 steps. The first transition is 3923584; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 107 × 719
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,399,680
Proper Divisor Sum 91,819
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1307833 ← → #1307863

Radix Representation

Decimal 1307861
Binary 100111111010011010101 (21 bits)
Octal 0o4772325
Hexadecimal 0x13F4D5

Divisor Catalog (8)

1 17 107 719 1,819 12,223 76,933 1,307,861

Collatz Trajectory (98 steps to reach 1)

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

1,307,861 3,923,584 1,961,792 980,896 490,448 245,224 122,612 61,306 30,653 91,960 45,980 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399 58,198 29,099 87,298 43,649 130,948 65,474 32,737 98,212 49,106 24,553 73,660 36,830 18,415 55,246 27,623 82,870 41,435 124,306 62,153 186,460 93,230 46,615 139,846 69,923 209,770 104,885 314,656 157,328 78,664 39,332 19,666 9,833 29,500 14,750 7,375 22,126 11,063 33,190 16,595 49,786

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