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Atlas › Integer Profiles › Node 4,828,848

4,828,848

24 × 3 × 29 × 3469
Abundant Even Composite

4,828,848 factors as 2^4 × 3 × 29 × 3469. Its 40 positive divisors give a proper-divisor sum of 8,079,552, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 29 × 3469
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 12,908,400
Proper Divisor Sum 8,079,552
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4828847 ← → #4828871

Radix Representation

Decimal 4828848
Binary 10010011010111010110000 (23 bits)
Octal 0o22327260
Hexadecimal 0x49AEB0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1,392 3,469 6,938 10,407 13,876 20,814 27,752 41,628 55,504 83,256 100,601 166,512 201,202 301,803 402,404 603,606 804,808 1,207,212 1,609,616 2,414,424 4,828,848

Collatz Trajectory (162 steps to reach 1)

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

4,828,848 2,414,424 1,207,212 603,606 301,803 905,410 452,705 1,358,116 679,058 339,529 1,018,588 509,294 254,647 763,942 381,971 1,145,914 572,957 1,718,872 859,436 429,718 214,859 644,578 322,289 966,868 483,434 241,717 725,152 362,576 181,288 90,644 45,322 22,661 67,984 33,992 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142

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