λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,341,344

7,341,344

25 × 383 × 599
Deficient Even Composite

7,341,344 factors as 2^5 × 383 × 599. Its 24 positive divisors give a proper-divisor sum of 7,173,856, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^5 × 383 × 599
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,515,200
Proper Divisor Sum 7,173,856
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7341293 ← → #7341349

Radix Representation

Decimal 7341344
Binary 11100000000010100100000 (23 bits)
Octal 0o34002440
Hexadecimal 0x700520

Divisor Catalog (24)

1 2 4 8 16 32 383 599 766 1,198 1,532 2,396 3,064 4,792 6,128 9,584 12,256 19,168 229,417 458,834 917,668 1,835,336 3,670,672 7,341,344

Collatz Trajectory (191 steps to reach 1)

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

7,341,344 3,670,672 1,835,336 917,668 458,834 229,417 688,252 344,126 172,063 516,190 258,095 774,286 387,143 1,161,430 580,715 1,742,146 871,073 2,613,220 1,306,610 653,305 1,959,916 979,958 489,979 1,469,938 734,969 2,204,908 1,102,454 551,227 1,653,682 826,841 2,480,524 1,240,262 620,131 1,860,394 930,197 2,790,592 1,395,296 697,648 348,824 174,412 87,206 43,603 130,810 65,405 196,216 98,108 49,054 24,527 73,582 36,791 110,374 55,187 165,562 82,781 248,344 124,172 62,086 31,043 93,130 46,565

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,341,343 Browse Full Index Next Integer #7,341,345 →