λ
Harmonic Matrix

2,592,525

3 × 52 × 13 × 2659
Deficient Odd Composite

2,592,525 has digital root 3. The neighboring primes are 2592523 and 2592539; its proper-divisor sum differs from the starting integer by -567,290.

Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 2659
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,617,760
Proper Divisor Sum 2,025,235
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2592523 ← → #2592539

Radix Representation

Decimal 2592525
Binary 1001111000111100001101 (22 bits)
Octal 0o11707415
Hexadecimal 0x278F0D

Divisor Catalog (24)

1 3 5 13 15 25 39 65 75 195 325 975 2,659 7,977 13,295 34,567 39,885 66,475 103,701 172,835 199,425 518,505 864,175 2,592,525

Collatz Trajectory (94 steps to reach 1)

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

2,592,525 7,777,576 3,888,788 1,944,394 972,197 2,916,592 1,458,296 729,148 364,574 182,287 546,862 273,431 820,294 410,147 1,230,442 615,221 1,845,664 922,832 461,416 230,708 115,354 57,677 173,032 86,516 43,258 21,629 64,888 32,444 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752

More profiles

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