λ
Harmonic Matrix

2,546,839

2546839
Deficient Odd Prime

2,546,839 has digital root 1. The neighboring primes are 2546837 and 2546849; its proper-divisor sum differs from the starting integer by -2,546,838.

Prime Factor Structure

Factorization String 2546839
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,546,840
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2546837 ← → #2546849

Radix Representation

Decimal 2546839
Binary 1001101101110010010111 (22 bits)
Octal 0o11556227
Hexadecimal 0x26DC97

Divisor Catalog (2)

Collatz Trajectory (249 steps to reach 1)

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

2,546,839 7,640,518 3,820,259 11,460,778 5,730,389 17,191,168 8,595,584 4,297,792 2,148,896 1,074,448 537,224 268,612 134,306 67,153 201,460 100,730 50,365 151,096 75,548 37,774 18,887 56,662 28,331 84,994 42,497 127,492 63,746 31,873 95,620 47,810 23,905 71,716 35,858 17,929 53,788 26,894 13,447 40,342 20,171 60,514 30,257 90,772 45,386 22,693 68,080 34,040 17,020 8,510 4,255 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159

More profiles

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