λ
Sequence Observatory

7,817,681

7817681
Deficient Odd Prime

Starting at 7,817,681, the Collatz iteration reaches 1 after 142 steps. The first transition is 23453044; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7817681
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,817,682
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7817639 ← → #7817743

Radix Representation

Decimal 7817681
Binary 11101110100100111010001 (23 bits)
Octal 0o35644721
Hexadecimal 0x7749D1

Divisor Catalog (2)

Collatz Trajectory (142 steps to reach 1)

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

7,817,681 23,453,044 11,726,522 5,863,261 17,589,784 8,794,892 4,397,446 2,198,723 6,596,170 3,298,085 9,894,256 4,947,128 2,473,564 1,236,782 618,391 1,855,174 927,587 2,782,762 1,391,381 4,174,144 2,087,072 1,043,536 521,768 260,884 130,442 65,221 195,664 97,832 48,916 24,458 12,229 36,688 18,344 9,172 4,586 2,293 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233

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