λ
Sequence Observatory

526,451

701 × 751
Deficient Odd Composite

Starting at 526,451, the Collatz iteration reaches 1 after 164 steps. The first transition is 1579354; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 701 × 751
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 527,904
Proper Divisor Sum 1,453
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #526441 ← → #526453

Radix Representation

Decimal 526451
Binary 10000000100001110011 (20 bits)
Octal 0o2004163
Hexadecimal 0x80873

Divisor Catalog (4)

1 701 751 526,451

Collatz Trajectory (164 steps to reach 1)

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

526,451 1,579,354 789,677 2,369,032 1,184,516 592,258 296,129 888,388 444,194 222,097 666,292 333,146 166,573 499,720 249,860 124,930 62,465 187,396 93,698 46,849 140,548 70,274 35,137 105,412 52,706 26,353 79,060 39,530 19,765 59,296 29,648 14,824 7,412 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94

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