λ
Sequence Observatory

1,096,902

2 × 35 × 37 × 61
Abundant Even Composite

Starting at 1,096,902, the Collatz iteration reaches 1 after 85 steps. The first transition is 548451; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^5 × 37 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,572,752
Proper Divisor Sum 1,475,850
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1096883 ← → #1096919

Radix Representation

Decimal 1096902
Binary 100001011110011000110 (21 bits)
Octal 0o4136306
Hexadecimal 0x10BCC6

Divisor Catalog (48)

1 2 3 6 9 18 27 37 54 61 74 81 111 122 162 183 222 243 333 366 486 549 666 999 1,098 1,647 1,998 2,257 2,997 3,294 4,514 4,941 5,994 6,771 8,991 9,882 13,542 14,823 17,982 20,313 29,646 40,626 60,939 121,878 182,817 365,634 548,451 1,096,902

Collatz Trajectory (85 steps to reach 1)

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

1,096,902 548,451 1,645,354 822,677 2,468,032 1,234,016 617,008 308,504 154,252 77,126 38,563 115,690 57,845 173,536 86,768 43,384 21,692 10,846 5,423 16,270 8,135 24,406 12,203 36,610 18,305 54,916 27,458 13,729 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196

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