λ
Harmonic Matrix

2,417,224

23 × 53 × 5701
Deficient Even Composite

2,417,224 has digital root 4. The neighboring primes are 2417221 and 2417243; its proper-divisor sum differs from the starting integer by -215,828.

Prime Factor Structure

Factorization String 2^3 × 53 × 5701
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,618,620
Proper Divisor Sum 2,201,396
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2417221 ← → #2417243

Radix Representation

Decimal 2417224
Binary 1001001110001001001000 (22 bits)
Octal 0o11161110
Hexadecimal 0x24E248

Divisor Catalog (16)

1 2 4 8 53 106 212 424 5,701 11,402 22,804 45,608 302,153 604,306 1,208,612 2,417,224

Collatz Trajectory (117 steps to reach 1)

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

2,417,224 1,208,612 604,306 302,153 906,460 453,230 226,615 679,846 339,923 1,019,770 509,885 1,529,656 764,828 382,414 191,207 573,622 286,811 860,434 430,217 1,290,652 645,326 322,663 967,990 483,995 1,451,986 725,993 2,177,980 1,088,990 544,495 1,633,486 816,743 2,450,230 1,225,115 3,675,346 1,837,673 5,513,020 2,756,510 1,378,255 4,134,766 2,067,383 6,202,150 3,101,075 9,303,226 4,651,613 13,954,840 6,977,420 3,488,710 1,744,355 5,233,066 2,616,533 7,849,600 3,924,800 1,962,400 981,200 490,600 245,300 122,650 61,325 183,976 91,988

More profiles

← Previous Integer #2,417,223 Browse Full Index Next Integer #2,417,225 →