λ
Harmonic Matrix

2,632,370

2 × 5 × 13 × 20249
Deficient Even Composite

2,632,370 has digital root 5. The neighboring primes are 2632369 and 2632379; its proper-divisor sum differs from the starting integer by -161,740.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 20249
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,103,000
Proper Divisor Sum 2,470,630
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2632369 ← → #2632379

Radix Representation

Decimal 2632370
Binary 1010000010101010110010 (22 bits)
Octal 0o12025262
Hexadecimal 0x282AB2

Divisor Catalog (16)

1 2 5 10 13 26 65 130 20,249 40,498 101,245 202,490 263,237 526,474 1,316,185 2,632,370

Collatz Trajectory (143 steps to reach 1)

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

2,632,370 1,316,185 3,948,556 1,974,278 987,139 2,961,418 1,480,709 4,442,128 2,221,064 1,110,532 555,266 277,633 832,900 416,450 208,225 624,676 312,338 156,169 468,508 234,254 117,127 351,382 175,691 527,074 263,537 790,612 395,306 197,653 592,960 296,480 148,240 74,120 37,060 18,530 9,265 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466

More profiles

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