λ
Integer Codex

3,116,451

3 × 13 × 41 × 1949
Deficient Odd Composite

For 3,116,451, the 16 positive divisors have a total of 4,586,400. Removing 3,116,451 leaves 1,469,949, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 13 × 41 × 1949
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,586,400
Proper Divisor Sum 1,469,949
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3116447 ← → #3116459

Radix Representation

Decimal 3116451
Binary 1011111000110110100011 (22 bits)
Octal 0o13706643
Hexadecimal 0x2F8DA3

Divisor Catalog (16)

1 3 13 39 41 123 533 1,599 1,949 5,847 25,337 76,011 79,909 239,727 1,038,817 3,116,451

Collatz Trajectory (226 steps to reach 1)

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

3,116,451 9,349,354 4,674,677 14,024,032 7,012,016 3,506,008 1,753,004 876,502 438,251 1,314,754 657,377 1,972,132 986,066 493,033 1,479,100 739,550 369,775 1,109,326 554,663 1,663,990 831,995 2,495,986 1,247,993 3,743,980 1,871,990 935,995 2,807,986 1,403,993 4,211,980 2,105,990 1,052,995 3,158,986 1,579,493 4,738,480 2,369,240 1,184,620 592,310 296,155 888,466 444,233 1,332,700 666,350 333,175 999,526 499,763 1,499,290 749,645 2,248,936 1,124,468 562,234 281,117 843,352 421,676 210,838 105,419 316,258 158,129 474,388 237,194 118,597

More profiles

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