λ
Harmonic Matrix

4,951,749

3 × 11 × 150053
Deficient Odd Composite

4,951,749 has digital root 3. The neighboring primes are 4951741 and 4951757; its proper-divisor sum differs from the starting integer by -2,700,906.

Prime Factor Structure

Factorization String 3 × 11 × 150053
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,202,592
Proper Divisor Sum 2,250,843
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4951741 ← → #4951757

Radix Representation

Decimal 4951749
Binary 10010111000111011000101 (23 bits)
Octal 0o22707305
Hexadecimal 0x4B8EC5

Divisor Catalog (8)

1 3 11 33 150,053 450,159 1,650,583 4,951,749

Collatz Trajectory (82 steps to reach 1)

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

4,951,749 14,855,248 7,427,624 3,713,812 1,856,906 928,453 2,785,360 1,392,680 696,340 348,170 174,085 522,256 261,128 130,564 65,282 32,641 97,924 48,962 24,481 73,444 36,722 18,361 55,084 27,542 13,771 41,314 20,657 61,972 30,986 15,493 46,480 23,240 11,620 5,810 2,905 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148

More profiles

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