λ
Harmonic Matrix

4,752,001

4752001
Deficient Odd Prime

4,752,001 has digital root 1. The neighboring primes are 4751951 and 4752017; its proper-divisor sum differs from the starting integer by -4,752,000.

Prime Factor Structure

Factorization String 4752001
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,752,002
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4751951 ← → #4752017

Radix Representation

Decimal 4752001
Binary 10010001000001010000001 (23 bits)
Octal 0o22101201
Hexadecimal 0x488281

Divisor Catalog (2)

1 4,752,001

Collatz Trajectory (69 steps to reach 1)

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

4,752,001 14,256,004 7,128,002 3,564,001 10,692,004 5,346,002 2,673,001 8,019,004 4,009,502 2,004,751 6,014,254 3,007,127 9,021,382 4,510,691 13,532,074 6,766,037 20,298,112 10,149,056 5,074,528 2,537,264 1,268,632 634,316 317,158 158,579 475,738 237,869 713,608 356,804 178,402 89,201 267,604 133,802 66,901 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26

More profiles

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