λ
Prime Ledger

7,329,341

23 × 223 × 1429
Deficient Odd Composite

7,329,341 has the prime decomposition 23 × 223 × 1429. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 223 × 1429
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,687,680
Proper Divisor Sum 358,339
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7329313 ← → #7329353

Radix Representation

Decimal 7329341
Binary 11011111101011000111101 (23 bits)
Octal 0o33753075
Hexadecimal 0x6FD63D

Divisor Catalog (8)

1 23 223 1,429 5,129 32,867 318,667 7,329,341

Collatz Trajectory (173 steps to reach 1)

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

7,329,341 21,988,024 10,994,012 5,497,006 2,748,503 8,245,510 4,122,755 12,368,266 6,184,133 18,552,400 9,276,200 4,638,100 2,319,050 1,159,525 3,478,576 1,739,288 869,644 434,822 217,411 652,234 326,117 978,352 489,176 244,588 122,294 61,147 183,442 91,721 275,164 137,582 68,791 206,374 103,187 309,562 154,781 464,344 232,172 116,086 58,043 174,130 87,065 261,196 130,598 65,299 195,898 97,949 293,848 146,924 73,462 36,731 110,194 55,097 165,292 82,646 41,323 123,970 61,985 185,956 92,978 46,489

More profiles

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