λ
Harmonic Matrix

4,767,071

223 × 21377
Deficient Odd Composite

4,767,071 has digital root 5. The neighboring primes are 4767067 and 4767079; its proper-divisor sum differs from the starting integer by -4,745,470.

Prime Factor Structure

Factorization String 223 × 21377
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,788,672
Proper Divisor Sum 21,601
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4767067 ← → #4767079

Radix Representation

Decimal 4767071
Binary 10010001011110101011111 (23 bits)
Octal 0o22136537
Hexadecimal 0x48BD5F

Divisor Catalog (4)

1 223 21,377 4,767,071

Collatz Trajectory (193 steps to reach 1)

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

4,767,071 14,301,214 7,150,607 21,451,822 10,725,911 32,177,734 16,088,867 48,266,602 24,133,301 72,399,904 36,199,952 18,099,976 9,049,988 4,524,994 2,262,497 6,787,492 3,393,746 1,696,873 5,090,620 2,545,310 1,272,655 3,817,966 1,908,983 5,726,950 2,863,475 8,590,426 4,295,213 12,885,640 6,442,820 3,221,410 1,610,705 4,832,116 2,416,058 1,208,029 3,624,088 1,812,044 906,022 453,011 1,359,034 679,517 2,038,552 1,019,276 509,638 254,819 764,458 382,229 1,146,688 573,344 286,672 143,336 71,668 35,834 17,917 53,752 26,876 13,438 6,719 20,158 10,079 30,238

More profiles

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