λ
Prime Ledger

9,735,023

31 × 71 × 4423
Deficient Odd Composite

9,735,023 has the prime decomposition 31 × 71 × 4423. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 31 × 71 × 4423
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,192,896
Proper Divisor Sum 457,873
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9735007 ← → #9735029

Radix Representation

Decimal 9735023
Binary 100101001000101101101111 (24 bits)
Octal 0o45105557
Hexadecimal 0x948B6F

Divisor Catalog (8)

1 31 71 2,201 4,423 137,113 314,033 9,735,023

Collatz Trajectory (176 steps to reach 1)

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

9,735,023 29,205,070 14,602,535 43,807,606 21,903,803 65,711,410 32,855,705 98,567,116 49,283,558 24,641,779 73,925,338 36,962,669 110,888,008 55,444,004 27,722,002 13,861,001 41,583,004 20,791,502 10,395,751 31,187,254 15,593,627 46,780,882 23,390,441 70,171,324 35,085,662 17,542,831 52,628,494 26,314,247 78,942,742 39,471,371 118,414,114 59,207,057 177,621,172 88,810,586 44,405,293 133,215,880 66,607,940 33,303,970 16,651,985 49,955,956 24,977,978 12,488,989 37,466,968 18,733,484 9,366,742 4,683,371 14,050,114 7,025,057 21,075,172 10,537,586 5,268,793 15,806,380 7,903,190 3,951,595 11,854,786 5,927,393 17,782,180 8,891,090 4,445,545 13,336,636

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