λ
Prime Ledger

3,745,167

3 × 197 × 6337
Deficient Odd Composite

3,745,167 has the prime decomposition 3 × 197 × 6337. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 197 × 6337
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,019,696
Proper Divisor Sum 1,274,529
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3745163 ← → #3745187

Radix Representation

Decimal 3745167
Binary 1110010010010110001111 (22 bits)
Octal 0o16222617
Hexadecimal 0x39258F

Divisor Catalog (8)

1 3 197 591 6,337 19,011 1,248,389 3,745,167

Collatz Trajectory (278 steps to reach 1)

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

3,745,167 11,235,502 5,617,751 16,853,254 8,426,627 25,279,882 12,639,941 37,919,824 18,959,912 9,479,956 4,739,978 2,369,989 7,109,968 3,554,984 1,777,492 888,746 444,373 1,333,120 666,560 333,280 166,640 83,320 41,660 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550

More profiles

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