λ
Harmonic Matrix

5,562,492

22 × 3 × 13 × 181 × 197
Abundant Even Composite

5,562,492 has digital root 6. The neighboring primes are 5562467 and 5562499; its proper-divisor sum differs from the starting integer by 3,001,128.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 181 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,126,112
Proper Divisor Sum 8,563,620
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5562467 ← → #5562499

Radix Representation

Decimal 5562492
Binary 10101001110000001111100 (23 bits)
Octal 0o25160174
Hexadecimal 0x54E07C

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 78 156 181 197 362 394 543 591 724 788 1,086 1,182 2,172 2,353 2,364 2,561 4,706 5,122 7,059 7,683 9,412 10,244 14,118 15,366 28,236 30,732 35,657 71,314 106,971 142,628 213,942 427,884 463,541 927,082 1,390,623 1,854,164 2,781,246 5,562,492

Collatz Trajectory (214 steps to reach 1)

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

5,562,492 2,781,246 1,390,623 4,171,870 2,085,935 6,257,806 3,128,903 9,386,710 4,693,355 14,080,066 7,040,033 21,120,100 10,560,050 5,280,025 15,840,076 7,920,038 3,960,019 11,880,058 5,940,029 17,820,088 8,910,044 4,455,022 2,227,511 6,682,534 3,341,267 10,023,802 5,011,901 15,035,704 7,517,852 3,758,926 1,879,463 5,638,390 2,819,195 8,457,586 4,228,793 12,686,380 6,343,190 3,171,595 9,514,786 4,757,393 14,272,180 7,136,090 3,568,045 10,704,136 5,352,068 2,676,034 1,338,017 4,014,052 2,007,026 1,003,513 3,010,540 1,505,270 752,635 2,257,906 1,128,953 3,386,860 1,693,430 846,715 2,540,146 1,270,073

More profiles

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