830,701

41 × 20261

Starting at 830,701, the Collatz iteration reaches 1 after 175 steps. The first transition is 2492104; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 41 × 20261

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 851,004

Proper Divisor Sum 20,303

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #830693 ← → #830719

Radix Representation

Decimal	830701
Binary	11001010110011101101 (20 bits)
Octal	0o3126355
Hexadecimal	0xCACED

Divisor Catalog (4)

1 41 20,261 830,701

Collatz Trajectory (175 steps to reach 1)

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

830,701 2,492,104 1,246,052 623,026 311,513 934,540 467,270 233,635 700,906 350,453 1,051,360 525,680 262,840 131,420 65,710 32,855 98,566 49,283 147,850 73,925 221,776 110,888 55,444 27,722 13,861 41,584 20,792 10,396 5,198 2,599 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881

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