λ
Prime Ledger

4,004,997

3 × 439 × 3041
Deficient Odd Composite

4,004,997 has the prime decomposition 3 × 439 × 3041. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 439 × 3041
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,353,920
Proper Divisor Sum 1,348,923
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4004989 ← → #4005019

Radix Representation

Decimal 4004997
Binary 1111010001110010000101 (22 bits)
Octal 0o17216205
Hexadecimal 0x3D1C85

Divisor Catalog (8)

1 3 439 1,317 3,041 9,123 1,334,999 4,004,997

Collatz Trajectory (115 steps to reach 1)

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

4,004,997 12,014,992 6,007,496 3,003,748 1,501,874 750,937 2,252,812 1,126,406 563,203 1,689,610 844,805 2,534,416 1,267,208 633,604 316,802 158,401 475,204 237,602 118,801 356,404 178,202 89,101 267,304 133,652 66,826 33,413 100,240 50,120 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414

More profiles

← Previous Integer #4,004,996 Browse Full Index Next Integer #4,004,998 →