λ
Harmonic Matrix

2,515,103

2515103
Deficient Odd Prime

2,515,103 has digital root 8. The neighboring primes are 2515081 and 2515127; its proper-divisor sum differs from the starting integer by -2,515,102.

Prime Factor Structure

Factorization String 2515103
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,515,104
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2515081 ← → #2515127

Radix Representation

Decimal 2515103
Binary 1001100110000010011111 (22 bits)
Octal 0o11460237
Hexadecimal 0x26609F

Divisor Catalog (2)

1 2,515,103

Collatz Trajectory (81 steps to reach 1)

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

2,515,103 7,545,310 3,772,655 11,317,966 5,658,983 16,976,950 8,488,475 25,465,426 12,732,713 38,198,140 19,099,070 9,549,535 28,648,606 14,324,303 42,972,910 21,486,455 64,459,366 32,229,683 96,689,050 48,344,525 145,033,576 72,516,788 36,258,394 18,129,197 54,387,592 27,193,796 13,596,898 6,798,449 20,395,348 10,197,674 5,098,837 15,296,512 7,648,256 3,824,128 1,912,064 956,032 478,016 239,008 119,504 59,752 29,876 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74

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