λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,289,352

4,289,352

23 × 3 × 313 × 571
Abundant Even Composite

4,289,352 factors as 2^3 × 3 × 313 × 571. Its 32 positive divisors give a proper-divisor sum of 6,487,128, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 313 × 571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,776,480
Proper Divisor Sum 6,487,128
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4289347 ← → #4289353

Radix Representation

Decimal 4289352
Binary 10000010111001101001000 (23 bits)
Octal 0o20271510
Hexadecimal 0x417348

Divisor Catalog (32)

1 2 3 4 6 8 12 24 313 571 626 939 1,142 1,252 1,713 1,878 2,284 2,504 3,426 3,756 4,568 6,852 7,512 13,704 178,723 357,446 536,169 714,892 1,072,338 1,429,784 2,144,676 4,289,352

Collatz Trajectory (149 steps to reach 1)

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

4,289,352 2,144,676 1,072,338 536,169 1,608,508 804,254 402,127 1,206,382 603,191 1,809,574 904,787 2,714,362 1,357,181 4,071,544 2,035,772 1,017,886 508,943 1,526,830 763,415 2,290,246 1,145,123 3,435,370 1,717,685 5,153,056 2,576,528 1,288,264 644,132 322,066 161,033 483,100 241,550 120,775 362,326 181,163 543,490 271,745 815,236 407,618 203,809 611,428 305,714 152,857 458,572 229,286 114,643 343,930 171,965 515,896 257,948 128,974 64,487 193,462 96,731 290,194 145,097 435,292 217,646 108,823 326,470 163,235

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,289,351 Browse Full Index Next Integer #4,289,353 →