λ
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Atlas › Integer Profiles › Node 6,262,016

6,262,016

28 × 61 × 401
Abundant Even Composite

6,262,016 factors as 2^8 × 61 × 401. Its 36 positive divisors give a proper-divisor sum of 6,474,148, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^8 × 61 × 401
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,736,164
Proper Divisor Sum 6,474,148
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6262007 ← → #6262027

Radix Representation

Decimal 6262016
Binary 10111111000110100000000 (23 bits)
Octal 0o27706400
Hexadecimal 0x5F8D00

Divisor Catalog (36)

1 2 4 8 16 32 61 64 122 128 244 256 401 488 802 976 1,604 1,952 3,208 3,904 6,416 7,808 12,832 15,616 24,461 25,664 48,922 51,328 97,844 102,656 195,688 391,376 782,752 1,565,504 3,131,008 6,262,016

Collatz Trajectory (121 steps to reach 1)

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

6,262,016 3,131,008 1,565,504 782,752 391,376 195,688 97,844 48,922 24,461 73,384 36,692 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132

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