824,240

2⁴ × 5 × 10303

Starting at 824,240, the Collatz iteration reaches 1 after 175 steps. The first transition is 412120; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 10303

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,916,544

Proper Divisor Sum 1,092,304

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #824233 ← → #824269

Radix Representation

Decimal	824240
Binary	11001001001110110000 (20 bits)
Octal	0o3111660
Hexadecimal	0xC93B0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 10,303 20,606 41,212 51,515 82,424 103,030 164,848 206,060 412,120 824,240

Collatz Trajectory (175 steps to reach 1)

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

824,240 412,120 206,060 103,030 51,515 154,546 77,273 231,820 115,910 57,955 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146

← Previous Integer #824,239 Browse Full Index Next Integer #824,241 →