λ
Sequence Observatory

1,925,833

7 × 13 × 21163
Deficient Odd Composite

Starting at 1,925,833, the Collatz iteration reaches 1 after 215 steps. The first transition is 5777500; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 21163
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,370,368
Proper Divisor Sum 444,535
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1925827 ← → #1925837

Radix Representation

Decimal 1925833
Binary 111010110001011001001 (21 bits)
Octal 0o7261311
Hexadecimal 0x1D62C9

Divisor Catalog (8)

1 7 13 91 21,163 148,141 275,119 1,925,833

Collatz Trajectory (215 steps to reach 1)

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

1,925,833 5,777,500 2,888,750 1,444,375 4,333,126 2,166,563 6,499,690 3,249,845 9,749,536 4,874,768 2,437,384 1,218,692 609,346 304,673 914,020 457,010 228,505 685,516 342,758 171,379 514,138 257,069 771,208 385,604 192,802 96,401 289,204 144,602 72,301 216,904 108,452 54,226 27,113 81,340 40,670 20,335 61,006 30,503 91,510 45,755 137,266 68,633 205,900 102,950 51,475 154,426 77,213 231,640 115,820 57,910 28,955 86,866 43,433 130,300 65,150 32,575 97,726 48,863 146,590 73,295

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