λ
Prime Ledger

3,126,641

72 × 63809
Deficient Odd Composite

3,126,641 has the prime decomposition 7^2 × 63809. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 63809
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 3,637,170
Proper Divisor Sum 510,529
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3126559 ← → #3126653

Radix Representation

Decimal 3126641
Binary 1011111011010101110001 (22 bits)
Octal 0o13732561
Hexadecimal 0x2FB571

Divisor Catalog (6)

1 7 49 63,809 446,663 3,126,641

Collatz Trajectory (208 steps to reach 1)

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

3,126,641 9,379,924 4,689,962 2,344,981 7,034,944 3,517,472 1,758,736 879,368 439,684 219,842 109,921 329,764 164,882 82,441 247,324 123,662 61,831 185,494 92,747 278,242 139,121 417,364 208,682 104,341 313,024 156,512 78,256 39,128 19,564 9,782 4,891 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838

More profiles

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