7,364,448

2⁵ × 3² × 7 × 13 × 281

7,364,448 factors as 2^5 × 3^2 × 7 × 13 × 281. Its 144 positive divisors give a proper-divisor sum of 18,502,848, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 13 × 281

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 25,867,296

Proper Divisor Sum 18,502,848

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7364447 ← → #7364471

Radix Representation

Decimal	7364448
Binary	11100000101111101100000 (23 bits)
Octal	0o34057540
Hexadecimal	0x705F60

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 281 288 312 336 364 416 468 504 546 562 624 672 728 819 843 936 1,008

Collatz Trajectory (204 steps to reach 1)

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

7,364,448 3,682,224 1,841,112 920,556 460,278 230,139 690,418 345,209 1,035,628 517,814 258,907 776,722 388,361 1,165,084 582,542 291,271 873,814 436,907 1,310,722 655,361 1,966,084 983,042 491,521 1,474,564 737,282 368,641 1,105,924 552,962 276,481 829,444 414,722 207,361 622,084 311,042 155,521 466,564 233,282 116,641 349,924 174,962 87,481 262,444 131,222 65,611 196,834 98,417 295,252 147,626 73,813 221,440 110,720 55,360 27,680 13,840 6,920 3,460 1,730 865 2,596 1,298

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,364,447 Browse Full Index Next Integer #7,364,449 →