λ
Sequence Observatory

2,352,826

2 × 7 × 41 × 4099
Deficient Even Composite

Starting at 2,352,826, the Collatz iteration reaches 1 after 161 steps. The first transition is 1176413; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 41 × 4099
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,132,800
Proper Divisor Sum 1,779,974
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2352811 ← → #2352841

Radix Representation

Decimal 2352826
Binary 1000111110011010111010 (22 bits)
Octal 0o10763272
Hexadecimal 0x23E6BA

Divisor Catalog (16)

1 2 7 14 41 82 287 574 4,099 8,198 28,693 57,386 168,059 336,118 1,176,413 2,352,826

Collatz Trajectory (161 steps to reach 1)

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

2,352,826 1,176,413 3,529,240 1,764,620 882,310 441,155 1,323,466 661,733 1,985,200 992,600 496,300 248,150 124,075 372,226 186,113 558,340 279,170 139,585 418,756 209,378 104,689 314,068 157,034 78,517 235,552 117,776 58,888 29,444 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71

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