λ
Prime Ledger

5,567,076

22 × 33 × 19 × 2713
Abundant Even Composite

5,567,076 has the prime decomposition 2^2 × 3^3 × 19 × 2713. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 19 × 2713
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,198,400
Proper Divisor Sum 9,631,324
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5567071 ← → #5567113

Radix Representation

Decimal 5567076
Binary 10101001111001001100100 (23 bits)
Octal 0o25171144
Hexadecimal 0x54F264

Divisor Catalog (48)

1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1,026 2,052 2,713 5,426 8,139 10,852 16,278 24,417 32,556 48,834 51,547 73,251 97,668 103,094 146,502 154,641 206,188 293,004 309,282 463,923 618,564 927,846 1,391,769 1,855,692 2,783,538 5,567,076

Collatz Trajectory (170 steps to reach 1)

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

5,567,076 2,783,538 1,391,769 4,175,308 2,087,654 1,043,827 3,131,482 1,565,741 4,697,224 2,348,612 1,174,306 587,153 1,761,460 880,730 440,365 1,321,096 660,548 330,274 165,137 495,412 247,706 123,853 371,560 185,780 92,890 46,445 139,336 69,668 34,834 17,417 52,252 26,126 13,063 39,190 19,595 58,786 29,393 88,180 44,090 22,045 66,136 33,068 16,534 8,267 24,802 12,401 37,204 18,602 9,301 27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164

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