λ
Harmonic Matrix

5,556,276

22 × 34 × 11 × 1559
Abundant Even Composite

5,556,276 has digital root 9. The neighboring primes are 5556259 and 5556283; its proper-divisor sum differs from the starting integer by 4,743,288.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 11 × 1559
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 15,855,840
Proper Divisor Sum 10,299,564
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5556259 ← → #5556283

Radix Representation

Decimal 5556276
Binary 10101001100100000110100 (23 bits)
Octal 0o25144064
Hexadecimal 0x54C834

Divisor Catalog (60)

1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1,188 1,559 1,782 3,118 3,564 4,677 6,236 9,354 14,031 17,149 18,708 28,062 34,298 42,093 51,447 56,124 68,596 84,186 102,894 126,279 154,341 168,372 205,788 252,558 308,682 463,023 505,116 617,364 926,046 1,389,069 1,852,092 2,778,138 5,556,276

Collatz Trajectory (82 steps to reach 1)

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

5,556,276 2,778,138 1,389,069 4,167,208 2,083,604 1,041,802 520,901 1,562,704 781,352 390,676 195,338 97,669 293,008 146,504 73,252 36,626 18,313 54,940 27,470 13,735 41,206 20,603 61,810 30,905 92,716 46,358 23,179 69,538 34,769 104,308 52,154 26,077 78,232 39,116 19,558 9,779 29,338 14,669 44,008 22,004 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980

More profiles

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