λ
Integer Codex

829,877

829877
Deficient Odd Prime

For 829,877, the 2 positive divisors have a total of 829,878. Removing 829,877 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 829877
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 829,878
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #829867 ← → #829883

Radix Representation

Decimal 829877
Binary 11001010100110110101 (20 bits)
Octal 0o3124665
Hexadecimal 0xCA9B5

Divisor Catalog (2)

1 829,877

Collatz Trajectory (100 steps to reach 1)

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

829,877 2,489,632 1,244,816 622,408 311,204 155,602 77,801 233,404 116,702 58,351 175,054 87,527 262,582 131,291 393,874 196,937 590,812 295,406 147,703 443,110 221,555 664,666 332,333 997,000 498,500 249,250 124,625 373,876 186,938 93,469 280,408 140,204 70,102 35,051 105,154 52,577 157,732 78,866 39,433 118,300 59,150 29,575 88,726 44,363 133,090 66,545 199,636 99,818 49,909 149,728 74,864 37,432 18,716 9,358 4,679 14,038 7,019 21,058 10,529 31,588

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