λ
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Atlas › Integer Profiles › Node 6,736,612

6,736,612

22 × 83 × 103 × 197
Deficient Even Composite

6,736,612 factors as 2^2 × 83 × 103 × 197. Its 24 positive divisors give a proper-divisor sum of 5,371,484, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 83 × 103 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,108,096
Proper Divisor Sum 5,371,484
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6736603 ← → #6736633

Radix Representation

Decimal 6736612
Binary 11001101100101011100100 (23 bits)
Octal 0o31545344
Hexadecimal 0x66CAE4

Divisor Catalog (24)

1 2 4 83 103 166 197 206 332 394 412 788 8,549 16,351 17,098 20,291 32,702 34,196 40,582 65,404 81,164 1,684,153 3,368,306 6,736,612

Collatz Trajectory (85 steps to reach 1)

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

6,736,612 3,368,306 1,684,153 5,052,460 2,526,230 1,263,115 3,789,346 1,894,673 5,684,020 2,842,010 1,421,005 4,263,016 2,131,508 1,065,754 532,877 1,598,632 799,316 399,658 199,829 599,488 299,744 149,872 74,936 37,468 18,734 9,367 28,102 14,051 42,154 21,077 63,232 31,616 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

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