λ
Prime Ledger

4,727,133

33 × 175079
Deficient Odd Composite

4,727,133 has the prime decomposition 3^3 × 175079. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 175079
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,003,200
Proper Divisor Sum 2,276,067
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4727089 ← → #4727147

Radix Representation

Decimal 4727133
Binary 10010000010000101011101 (23 bits)
Octal 0o22020535
Hexadecimal 0x48215D

Divisor Catalog (8)

1 3 9 27 175,079 525,237 1,575,711 4,727,133

Collatz Trajectory (131 steps to reach 1)

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

4,727,133 14,181,400 7,090,700 3,545,350 1,772,675 5,318,026 2,659,013 7,977,040 3,988,520 1,994,260 997,130 498,565 1,495,696 747,848 373,924 186,962 93,481 280,444 140,222 70,111 210,334 105,167 315,502 157,751 473,254 236,627 709,882 354,941 1,064,824 532,412 266,206 133,103 399,310 199,655 598,966 299,483 898,450 449,225 1,347,676 673,838 336,919 1,010,758 505,379 1,516,138 758,069 2,274,208 1,137,104 568,552 284,276 142,138 71,069 213,208 106,604 53,302 26,651 79,954 39,977 119,932 59,966 29,983

More profiles

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