λ
Sequence Observatory

1,098,276

22 × 3 × 19 × 4817
Abundant Even Composite

Starting at 1,098,276, the Collatz iteration reaches 1 after 85 steps. The first transition is 549138; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 4817
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,698,080
Proper Divisor Sum 1,599,804
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1098269 ← → #1098287

Radix Representation

Decimal 1098276
Binary 100001100001000100100 (21 bits)
Octal 0o4141044
Hexadecimal 0x10C224

Divisor Catalog (24)

1 2 3 4 6 12 19 38 57 76 114 228 4,817 9,634 14,451 19,268 28,902 57,804 91,523 183,046 274,569 366,092 549,138 1,098,276

Collatz Trajectory (85 steps to reach 1)

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

1,098,276 549,138 274,569 823,708 411,854 205,927 617,782 308,891 926,674 463,337 1,390,012 695,006 347,503 1,042,510 521,255 1,563,766 781,883 2,345,650 1,172,825 3,518,476 1,759,238 879,619 2,638,858 1,319,429 3,958,288 1,979,144 989,572 494,786 247,393 742,180 371,090 185,545 556,636 278,318 139,159 417,478 208,739 626,218 313,109 939,328 469,664 234,832 117,416 58,708 29,354 14,677 44,032 22,016 11,008 5,504 2,752 1,376 688 344 172 86 43 130 65 196

More profiles

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