λ
Sequence Observatory

921,781

7 × 37 × 3559
Deficient Odd Composite

Starting at 921,781, the Collatz iteration reaches 1 after 77 steps. The first transition is 2765344; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 37 × 3559
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,082,240
Proper Divisor Sum 160,459
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #921779 ← → #921787

Radix Representation

Decimal 921781
Binary 11100001000010110101 (20 bits)
Octal 0o3410265
Hexadecimal 0xE10B5

Divisor Catalog (8)

1 7 37 259 3,559 24,913 131,683 921,781

Collatz Trajectory (77 steps to reach 1)

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

921,781 2,765,344 1,382,672 691,336 345,668 172,834 86,417 259,252 129,626 64,813 194,440 97,220 48,610 24,305 72,916 36,458 18,229 54,688 27,344 13,672 6,836 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28

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