λ
Harmonic Matrix

4,897,749

3 × 223 × 7321
Deficient Odd Composite

4,897,749 has digital root 3. The neighboring primes are 4897741 and 4897757; its proper-divisor sum differs from the starting integer by -3,234,986.

Prime Factor Structure

Factorization String 3 × 223 × 7321
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,560,512
Proper Divisor Sum 1,662,763
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #4897741 ← → #4897757

Radix Representation

Decimal 4897749
Binary 10010101011101111010101 (23 bits)
Octal 0o22535725
Hexadecimal 0x4ABBD5

Divisor Catalog (8)

1 3 223 669 7,321 21,963 1,632,583 4,897,749

Collatz Trajectory (175 steps to reach 1)

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

4,897,749 14,693,248 7,346,624 3,673,312 1,836,656 918,328 459,164 229,582 114,791 344,374 172,187 516,562 258,281 774,844 387,422 193,711 581,134 290,567 871,702 435,851 1,307,554 653,777 1,961,332 980,666 490,333 1,471,000 735,500 367,750 183,875 551,626 275,813 827,440 413,720 206,860 103,430 51,715 155,146 77,573 232,720 116,360 58,180 29,090 14,545 43,636 21,818 10,909 32,728 16,364 8,182 4,091 12,274 6,137 18,412 9,206 4,603 13,810 6,905 20,716 10,358 5,179

More profiles

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