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4,288,288

25 × 29 × 4621
Abundant Even Composite

4,288,288 factors as 2^5 × 29 × 4621. Its 24 positive divisors give a proper-divisor sum of 4,447,292, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^5 × 29 × 4621
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,735,580
Proper Divisor Sum 4,447,292
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4288253 ← → #4288307

Radix Representation

Decimal 4288288
Binary 10000010110111100100000 (23 bits)
Octal 0o20267440
Hexadecimal 0x416F20

Divisor Catalog (24)

1 2 4 8 16 29 32 58 116 232 464 928 4,621 9,242 18,484 36,968 73,936 134,009 147,872 268,018 536,036 1,072,072 2,144,144 4,288,288

Collatz Trajectory (136 steps to reach 1)

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

4,288,288 2,144,144 1,072,072 536,036 268,018 134,009 402,028 201,014 100,507 301,522 150,761 452,284 226,142 113,071 339,214 169,607 508,822 254,411 763,234 381,617 1,144,852 572,426 286,213 858,640 429,320 214,660 107,330 53,665 160,996 80,498 40,249 120,748 60,374 30,187 90,562 45,281 135,844 67,922 33,961 101,884 50,942 25,471 76,414 38,207 114,622 57,311 171,934 85,967 257,902 128,951 386,854 193,427 580,282 290,141 870,424 435,212 217,606 108,803 326,410 163,205

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