λ
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6,547,736

23 × 132 × 29 × 167
Abundant Even Composite

6,547,736 factors as 2^3 × 13^2 × 29 × 167. Its 48 positive divisors give a proper-divisor sum of 7,287,064, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^3 × 13^2 × 29 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,834,800
Proper Divisor Sum 7,287,064
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6547733 ← → #6547747

Radix Representation

Decimal 6547736
Binary 11000111110100100011000 (23 bits)
Octal 0o30764430
Hexadecimal 0x63E918

Divisor Catalog (48)

1 2 4 8 13 26 29 52 58 104 116 167 169 232 334 338 377 668 676 754 1,336 1,352 1,508 2,171 3,016 4,342 4,843 4,901 8,684 9,686 9,802 17,368 19,372 19,604 28,223 38,744 39,208 56,446 62,959 112,892 125,918 225,784 251,836 503,672 818,467 1,636,934 3,273,868 6,547,736

Collatz Trajectory (72 steps to reach 1)

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

6,547,736 3,273,868 1,636,934 818,467 2,455,402 1,227,701 3,683,104 1,841,552 920,776 460,388 230,194 115,097 345,292 172,646 86,323 258,970 129,485 388,456 194,228 97,114 48,557 145,672 72,836 36,418 18,209 54,628 27,314 13,657 40,972 20,486 10,243 30,730 15,365 46,096 23,048 11,524 5,762 2,881 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34

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