λ
Harmonic Matrix

2,318,641

13 × 59 × 3023
Deficient Odd Composite

2,318,641 has digital root 7. The neighboring primes are 2318623 and 2318663; its proper-divisor sum differs from the starting integer by -2,097,122.

Prime Factor Structure

Factorization String 13 × 59 × 3023
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,540,160
Proper Divisor Sum 221,519
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2318623 ← → #2318663

Radix Representation

Decimal 2318641
Binary 1000110110000100110001 (22 bits)
Octal 0o10660461
Hexadecimal 0x236131

Divisor Catalog (8)

1 13 59 767 3,023 39,299 178,357 2,318,641

Collatz Trajectory (161 steps to reach 1)

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

2,318,641 6,955,924 3,477,962 1,738,981 5,216,944 2,608,472 1,304,236 652,118 326,059 978,178 489,089 1,467,268 733,634 366,817 1,100,452 550,226 275,113 825,340 412,670 206,335 619,006 309,503 928,510 464,255 1,392,766 696,383 2,089,150 1,044,575 3,133,726 1,566,863 4,700,590 2,350,295 7,050,886 3,525,443 10,576,330 5,288,165 15,864,496 7,932,248 3,966,124 1,983,062 991,531 2,974,594 1,487,297 4,461,892 2,230,946 1,115,473 3,346,420 1,673,210 836,605 2,509,816 1,254,908 627,454 313,727 941,182 470,591 1,411,774 705,887 2,117,662 1,058,831 3,176,494

More profiles

← Previous Integer #2,318,640 Browse Full Index Next Integer #2,318,642 →