λ
Harmonic Matrix

2,631,459

3 × 59 × 14867
Deficient Odd Composite

2,631,459 has digital root 3. The neighboring primes are 2631457 and 2631467; its proper-divisor sum differs from the starting integer by -1,694,598.

Prime Factor Structure

Factorization String 3 × 59 × 14867
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,568,320
Proper Divisor Sum 936,861
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2631457 ← → #2631467

Radix Representation

Decimal 2631459
Binary 1010000010011100100011 (22 bits)
Octal 0o12023443
Hexadecimal 0x282723

Divisor Catalog (8)

1 3 59 177 14,867 44,601 877,153 2,631,459

Collatz Trajectory (174 steps to reach 1)

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

2,631,459 7,894,378 3,947,189 11,841,568 5,920,784 2,960,392 1,480,196 740,098 370,049 1,110,148 555,074 277,537 832,612 416,306 208,153 624,460 312,230 156,115 468,346 234,173 702,520 351,260 175,630 87,815 263,446 131,723 395,170 197,585 592,756 296,378 148,189 444,568 222,284 111,142 55,571 166,714 83,357 250,072 125,036 62,518 31,259 93,778 46,889 140,668 70,334 35,167 105,502 52,751 158,254 79,127 237,382 118,691 356,074 178,037 534,112 267,056 133,528 66,764 33,382 16,691

More profiles

← Previous Integer #2,631,458 Browse Full Index Next Integer #2,631,460 →