λ
Sequence Observatory

1,653,598

2 × 826799
Deficient Even Composite

Starting at 1,653,598, the Collatz iteration reaches 1 after 238 steps. The first transition is 826799; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 826799
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,480,400
Proper Divisor Sum 826,802
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1653583 ← → #1653599

Radix Representation

Decimal 1653598
Binary 110010011101101011110 (21 bits)
Octal 0o6235536
Hexadecimal 0x193B5E

Divisor Catalog (4)

1 2 826,799 1,653,598

Collatz Trajectory (238 steps to reach 1)

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

1,653,598 826,799 2,480,398 1,240,199 3,720,598 1,860,299 5,580,898 2,790,449 8,371,348 4,185,674 2,092,837 6,278,512 3,139,256 1,569,628 784,814 392,407 1,177,222 588,611 1,765,834 882,917 2,648,752 1,324,376 662,188 331,094 165,547 496,642 248,321 744,964 372,482 186,241 558,724 279,362 139,681 419,044 209,522 104,761 314,284 157,142 78,571 235,714 117,857 353,572 176,786 88,393 265,180 132,590 66,295 198,886 99,443 298,330 149,165 447,496 223,748 111,874 55,937 167,812 83,906 41,953 125,860 62,930

More profiles

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