λ
Integer Codex

967,091

53 × 71 × 257
Deficient Odd Composite

For 967,091, the 8 positive divisors have a total of 1,003,104. Removing 967,091 leaves 36,013, which gives the deficient classification.

Prime Factor Structure

Factorization String 53 × 71 × 257
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,003,104
Proper Divisor Sum 36,013
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #967061 ← → #967111

Radix Representation

Decimal 967091
Binary 11101100000110110011 (20 bits)
Octal 0o3540663
Hexadecimal 0xEC1B3

Divisor Catalog (8)

1 53 71 257 3,763 13,621 18,247 967,091

Collatz Trajectory (95 steps to reach 1)

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

967,091 2,901,274 1,450,637 4,351,912 2,175,956 1,087,978 543,989 1,631,968 815,984 407,992 203,996 101,998 50,999 152,998 76,499 229,498 114,749 344,248 172,124 86,062 43,031 129,094 64,547 193,642 96,821 290,464 145,232 72,616 36,308 18,154 9,077 27,232 13,616 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154

More profiles

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