λ
Harmonic Matrix

2,964,431

47 × 63073
Deficient Odd Composite

2,964,431 has digital root 2. The neighboring primes are 2964427 and 2964433; its proper-divisor sum differs from the starting integer by -2,901,310.

Prime Factor Structure

Factorization String 47 × 63073
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,027,552
Proper Divisor Sum 63,121
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2964427 ← → #2964433

Radix Representation

Decimal 2964431
Binary 1011010011101111001111 (22 bits)
Octal 0o13235717
Hexadecimal 0x2D3BCF

Divisor Catalog (4)

1 47 63,073 2,964,431

Collatz Trajectory (120 steps to reach 1)

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

2,964,431 8,893,294 4,446,647 13,339,942 6,669,971 20,009,914 10,004,957 30,014,872 15,007,436 7,503,718 3,751,859 11,255,578 5,627,789 16,883,368 8,441,684 4,220,842 2,110,421 6,331,264 3,165,632 1,582,816 791,408 395,704 197,852 98,926 49,463 148,390 74,195 222,586 111,293 333,880 166,940 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713 89,140 44,570 22,285 66,856 33,428 16,714 8,357 25,072 12,536 6,268 3,134

More profiles

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