λ
Harmonic Matrix

2,505,133

2505133
Deficient Odd Prime

2,505,133 has digital root 1. The neighboring primes are 2505127 and 2505143; its proper-divisor sum differs from the starting integer by -2,505,132.

Prime Factor Structure

Factorization String 2505133
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,505,134
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2505127 ← → #2505143

Radix Representation

Decimal 2505133
Binary 1001100011100110101101 (22 bits)
Octal 0o11434655
Hexadecimal 0x2639AD

Divisor Catalog (2)

1 2,505,133

Collatz Trajectory (161 steps to reach 1)

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

2,505,133 7,515,400 3,757,700 1,878,850 939,425 2,818,276 1,409,138 704,569 2,113,708 1,056,854 528,427 1,585,282 792,641 2,377,924 1,188,962 594,481 1,783,444 891,722 445,861 1,337,584 668,792 334,396 167,198 83,599 250,798 125,399 376,198 188,099 564,298 282,149 846,448 423,224 211,612 105,806 52,903 158,710 79,355 238,066 119,033 357,100 178,550 89,275 267,826 133,913 401,740 200,870 100,435 301,306 150,653 451,960 225,980 112,990 56,495 169,486 84,743 254,230 127,115 381,346 190,673 572,020

More profiles

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