λ
Prime Ledger

830,749

197 × 4217
Deficient Odd Composite

830,749 has the prime decomposition 197 × 4217. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 197 × 4217
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 835,164
Proper Divisor Sum 4,415
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #830743 ← → #830777

Radix Representation

Decimal 830749
Binary 11001010110100011101 (20 bits)
Octal 0o3126435
Hexadecimal 0xCAD1D

Divisor Catalog (4)

1 197 4,217 830,749

Collatz Trajectory (237 steps to reach 1)

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

830,749 2,492,248 1,246,124 623,062 311,531 934,594 467,297 1,401,892 700,946 350,473 1,051,420 525,710 262,855 788,566 394,283 1,182,850 591,425 1,774,276 887,138 443,569 1,330,708 665,354 332,677 998,032 499,016 249,508 124,754 62,377 187,132 93,566 46,783 140,350 70,175 210,526 105,263 315,790 157,895 473,686 236,843 710,530 355,265 1,065,796 532,898 266,449 799,348 399,674 199,837 599,512 299,756 149,878 74,939 224,818 112,409 337,228 168,614 84,307 252,922 126,461 379,384 189,692

More profiles

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