λ
Zalai Atlas

76,417

11 × 6947
Deficient Odd Composite

76,417 has the prime decomposition 11 × 6947. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 6947
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 83,376
Proper Divisor Sum 6,959
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #76403 ← → #76421

Radix Representation

Decimal 76417
Binary 10010101010000001 (17 bits)
Octal 0o225201
Hexadecimal 0x12A81

Divisor Catalog (4)

1 11 6,947 76,417

Collatz Trajectory (138 steps to reach 1)

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

76,417 229,252 114,626 57,313 171,940 85,970 42,985 128,956 64,478 32,239 96,718 48,359 145,078 72,539 217,618 108,809 326,428 163,214 81,607 244,822 122,411 367,234 183,617 550,852 275,426 137,713 413,140 206,570 103,285 309,856 154,928 77,464 38,732 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455

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