λ
Harmonic Matrix

2,602,693

2602693
Deficient Odd Prime

2,602,693 has digital root 1. The neighboring primes are 2602681 and 2602697; its proper-divisor sum differs from the starting integer by -2,602,692.

Prime Factor Structure

Factorization String 2602693
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,602,694
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2602681 ← → #2602697

Radix Representation

Decimal 2602693
Binary 1001111011011011000101 (22 bits)
Octal 0o11733305
Hexadecimal 0x27B6C5

Divisor Catalog (2)

Collatz Trajectory (187 steps to reach 1)

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

2,602,693 7,808,080 3,904,040 1,952,020 976,010 488,005 1,464,016 732,008 366,004 183,002 91,501 274,504 137,252 68,626 34,313 102,940 51,470 25,735 77,206 38,603 115,810 57,905 173,716 86,858 43,429 130,288 65,144 32,572 16,286 8,143 24,430 12,215 36,646 18,323 54,970 27,485 82,456 41,228 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522

More profiles

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