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Atlas › Integer Profiles › Node 4,476,264

4,476,264

23 × 3 × 13 × 14347
Abundant Even Composite

4,476,264 factors as 2^3 × 3 × 13 × 14347. Its 32 positive divisors give a proper-divisor sum of 7,576,056, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 14347
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,052,320
Proper Divisor Sum 7,576,056
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4476247 ← → #4476281

Radix Representation

Decimal 4476264
Binary 10001000100110101101000 (23 bits)
Octal 0o21046550
Hexadecimal 0x444D68

Divisor Catalog (32)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 14,347 28,694 43,041 57,388 86,082 114,776 172,164 186,511 344,328 373,022 559,533 746,044 1,119,066 1,492,088 2,238,132 4,476,264

Collatz Trajectory (162 steps to reach 1)

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

4,476,264 2,238,132 1,119,066 559,533 1,678,600 839,300 419,650 209,825 629,476 314,738 157,369 472,108 236,054 118,027 354,082 177,041 531,124 265,562 132,781 398,344 199,172 99,586 49,793 149,380 74,690 37,345 112,036 56,018 28,009 84,028 42,014 21,007 63,022 31,511 94,534 47,267 141,802 70,901 212,704 106,352 53,176 26,588 13,294 6,647 19,942 9,971 29,914 14,957 44,872 22,436 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402

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