λ
Harmonic Matrix

2,732,603

2732603
Deficient Odd Prime

2,732,603 has digital root 5. The neighboring primes are 2732593 and 2732629; its proper-divisor sum differs from the starting integer by -2,732,602.

Prime Factor Structure

Factorization String 2732603
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,732,604
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2732593 ← → #2732629

Radix Representation

Decimal 2732603
Binary 1010011011001000111011 (22 bits)
Octal 0o12331073
Hexadecimal 0x29B23B

Divisor Catalog (2)

1 2,732,603

Collatz Trajectory (112 steps to reach 1)

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

2,732,603 8,197,810 4,098,905 12,296,716 6,148,358 3,074,179 9,222,538 4,611,269 13,833,808 6,916,904 3,458,452 1,729,226 864,613 2,593,840 1,296,920 648,460 324,230 162,115 486,346 243,173 729,520 364,760 182,380 91,190 45,595 136,786 68,393 205,180 102,590 51,295 153,886 76,943 230,830 115,415 346,246 173,123 519,370 259,685 779,056 389,528 194,764 97,382 48,691 146,074 73,037 219,112 109,556 54,778 27,389 82,168 41,084 20,542 10,271 30,814 15,407 46,222 23,111 69,334 34,667 104,002

More profiles

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