λ
Prime Ledger

3,985,976

23 × 47 × 10601
Deficient Even Composite

3,985,976 has the prime decomposition 2^3 × 47 × 10601. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 47 × 10601
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,633,440
Proper Divisor Sum 3,647,464
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #3985951 ← → #3985999

Radix Representation

Decimal 3985976
Binary 1111001101001000111000 (22 bits)
Octal 0o17151070
Hexadecimal 0x3CD238

Divisor Catalog (16)

1 2 4 8 47 94 188 376 10,601 21,202 42,404 84,808 498,247 996,494 1,992,988 3,985,976

Collatz Trajectory (92 steps to reach 1)

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

3,985,976 1,992,988 996,494 498,247 1,494,742 747,371 2,242,114 1,121,057 3,363,172 1,681,586 840,793 2,522,380 1,261,190 630,595 1,891,786 945,893 2,837,680 1,418,840 709,420 354,710 177,355 532,066 266,033 798,100 399,050 199,525 598,576 299,288 149,644 74,822 37,411 112,234 56,117 168,352 84,176 42,088 21,044 10,522 5,261 15,784 7,892 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118

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