λ
Harmonic Matrix

2,897,988

22 × 3 × 37 × 61 × 107
Abundant Even Composite

2,897,988 has digital root 6. The neighboring primes are 2897981 and 2897989; its proper-divisor sum differs from the starting integer by 1,328,568.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 61 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,124,544
Proper Divisor Sum 4,226,556
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #2897981 ← → #2897989

Radix Representation

Decimal 2897988
Binary 1011000011100001000100 (22 bits)
Octal 0o13034104
Hexadecimal 0x2C3844

Divisor Catalog (48)

1 2 3 4 6 12 37 61 74 107 111 122 148 183 214 222 244 321 366 428 444 642 732 1,284 2,257 3,959 4,514 6,527 6,771 7,918 9,028 11,877 13,054 13,542 15,836 19,581 23,754 26,108 27,084 39,162 47,508 78,324 241,499 482,998 724,497 965,996 1,448,994 2,897,988

Collatz Trajectory (107 steps to reach 1)

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

2,897,988 1,448,994 724,497 2,173,492 1,086,746 543,373 1,630,120 815,060 407,530 203,765 611,296 305,648 152,824 76,412 38,206 19,103 57,310 28,655 85,966 42,983 128,950 64,475 193,426 96,713 290,140 145,070 72,535 217,606 108,803 326,410 163,205 489,616 244,808 122,404 61,202 30,601 91,804 45,902 22,951 68,854 34,427 103,282 51,641 154,924 77,462 38,731 116,194 58,097 174,292 87,146 43,573 130,720 65,360 32,680 16,340 8,170 4,085 12,256 6,128 3,064

More profiles

← Previous Integer #2,897,987 Browse Full Index Next Integer #2,897,989 →