λ
Sequence Observatory

689,681

19 × 36299
Deficient Odd Composite

Starting at 689,681, the Collatz iteration reaches 1 after 92 steps. The first transition is 2069044; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 19 × 36299
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 726,000
Proper Divisor Sum 36,319
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #689641 ← → #689693

Radix Representation

Decimal 689681
Binary 10101000011000010001 (20 bits)
Octal 0o2503021
Hexadecimal 0xA8611

Divisor Catalog (4)

1 19 36,299 689,681

Collatz Trajectory (92 steps to reach 1)

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

689,681 2,069,044 1,034,522 517,261 1,551,784 775,892 387,946 193,973 581,920 290,960 145,480 72,740 36,370 18,185 54,556 27,278 13,639 40,918 20,459 61,378 30,689 92,068 46,034 23,017 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098 65,549 196,648 98,324 49,162 24,581 73,744 36,872 18,436 9,218 4,609 13,828 6,914 3,457 10,372 5,186 2,593 7,780 3,890 1,945 5,836 2,918 1,459 4,378

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