λ
Harmonic Matrix

2,611,432

23 × 197 × 1657
Deficient Even Composite

2,611,432 has digital root 1. The neighboring primes are 2611403 and 2611439; its proper-divisor sum differs from the starting integer by -298,604.

Prime Factor Structure

Factorization String 2^3 × 197 × 1657
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,924,260
Proper Divisor Sum 2,312,828
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2611403 ← → #2611439

Radix Representation

Decimal 2611432
Binary 1001111101100011101000 (22 bits)
Octal 0o11754350
Hexadecimal 0x27D8E8

Divisor Catalog (16)

1 2 4 8 197 394 788 1,576 1,657 3,314 6,628 13,256 326,429 652,858 1,305,716 2,611,432

Collatz Trajectory (125 steps to reach 1)

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

2,611,432 1,305,716 652,858 326,429 979,288 489,644 244,822 122,411 367,234 183,617 550,852 275,426 137,713 413,140 206,570 103,285 309,856 154,928 77,464 38,732 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418

More profiles

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