λ
Prime Ledger

924,715

5 × 11 × 17 × 23 × 43
Deficient Odd Composite

924,715 has the prime decomposition 5 × 11 × 17 × 23 × 43. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 17 × 23 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,368,576
Proper Divisor Sum 443,861
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #924713 ← → #924719

Radix Representation

Decimal 924715
Binary 11100001110000101011 (20 bits)
Octal 0o3416053
Hexadecimal 0xE1C2B

Divisor Catalog (32)

1 5 11 17 23 43 55 85 115 187 215 253 391 473 731 935 989 1,265 1,955 2,365 3,655 4,301 4,945 8,041 10,879 16,813 21,505 40,205 54,395 84,065 184,943 924,715

Collatz Trajectory (77 steps to reach 1)

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

924,715 2,774,146 1,387,073 4,161,220 2,080,610 1,040,305 3,120,916 1,560,458 780,229 2,340,688 1,170,344 585,172 292,586 146,293 438,880 219,440 109,720 54,860 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28

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