λ
Sequence Observatory

870,757

172 × 23 × 131
Deficient Odd Composite

Starting at 870,757, the Collatz iteration reaches 1 after 188 steps. The first transition is 2612272; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 17^2 × 23 × 131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 972,576
Proper Divisor Sum 101,819
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #870743 ← → #870773

Radix Representation

Decimal 870757
Binary 11010100100101100101 (20 bits)
Octal 0o3244545
Hexadecimal 0xD4965

Divisor Catalog (12)

1 17 23 131 289 391 2,227 3,013 6,647 37,859 51,221 870,757

Collatz Trajectory (188 steps to reach 1)

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

870,757 2,612,272 1,306,136 653,068 326,534 163,267 489,802 244,901 734,704 367,352 183,676 91,838 45,919 137,758 68,879 206,638 103,319 309,958 154,979 464,938 232,469 697,408 348,704 174,352 87,176 43,588 21,794 10,897 32,692 16,346 8,173 24,520 12,260 6,130 3,065 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528

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