λ
Harmonic Matrix

4,764,775

52 × 190591
Deficient Odd Composite

4,764,775 has digital root 4. The neighboring primes are 4764769 and 4764779; its proper-divisor sum differs from the starting integer by -3,621,198.

Prime Factor Structure

Factorization String 5^2 × 190591
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,908,352
Proper Divisor Sum 1,143,577
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4764769 ← → #4764779

Radix Representation

Decimal 4764775
Binary 10010001011010001100111 (23 bits)
Octal 0o22132147
Hexadecimal 0x48B467

Divisor Catalog (6)

1 5 25 190,591 952,955 4,764,775

Collatz Trajectory (175 steps to reach 1)

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

4,764,775 14,294,326 7,147,163 21,441,490 10,720,745 32,162,236 16,081,118 8,040,559 24,121,678 12,060,839 36,182,518 18,091,259 54,273,778 27,136,889 81,410,668 40,705,334 20,352,667 61,058,002 30,529,001 91,587,004 45,793,502 22,896,751 68,690,254 34,345,127 103,035,382 51,517,691 154,553,074 77,276,537 231,829,612 115,914,806 57,957,403 173,872,210 86,936,105 260,808,316 130,404,158 65,202,079 195,606,238 97,803,119 293,409,358 146,704,679 440,114,038 220,057,019 660,171,058 330,085,529 990,256,588 495,128,294 247,564,147 742,692,442 371,346,221 1,114,038,664 557,019,332 278,509,666 139,254,833 417,764,500 208,882,250 104,441,125 313,323,376 156,661,688 78,330,844 39,165,422

More profiles

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