λ
Harmonic Matrix

2,225,001

3 × 741667
Deficient Odd Composite

2,225,001 has digital root 3. The neighboring primes are 2224991 and 2225009; its proper-divisor sum differs from the starting integer by -1,483,330.

Prime Factor Structure

Factorization String 3 × 741667
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,966,672
Proper Divisor Sum 741,671
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #2224991 ← → #2225009

Radix Representation

Decimal 2225001
Binary 1000011111001101101001 (22 bits)
Octal 0o10371551
Hexadecimal 0x21F369

Divisor Catalog (4)

1 3 741,667 2,225,001

Collatz Trajectory (86 steps to reach 1)

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

2,225,001 6,675,004 3,337,502 1,668,751 5,006,254 2,503,127 7,509,382 3,754,691 11,264,074 5,632,037 16,896,112 8,448,056 4,224,028 2,112,014 1,056,007 3,168,022 1,584,011 4,752,034 2,376,017 7,128,052 3,564,026 1,782,013 5,346,040 2,673,020 1,336,510 668,255 2,004,766 1,002,383 3,007,150 1,503,575 4,510,726 2,255,363 6,766,090 3,383,045 10,149,136 5,074,568 2,537,284 1,268,642 634,321 1,902,964 951,482 475,741 1,427,224 713,612 356,806 178,403 535,210 267,605 802,816 401,408 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392

More profiles

← Previous Integer #2,225,000 Browse Full Index Next Integer #2,225,002 →