λ
Sigma Notebook

6,123,890

2 × 5 × 19 × 167 × 193
Deficient Even Composite

6,123,890 is even and not a perfect square. Its factorization is 2 × 5 × 19 × 167 × 193 and its 32 divisors sum to 11,733,120.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 167 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,733,120
Proper Divisor Sum 5,609,230
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6123889 ← → #6123913

Radix Representation

Decimal 6123890
Binary 10111010111000101110010 (23 bits)
Octal 0o27270562
Hexadecimal 0x5D7172

Divisor Catalog (32)

1 2 5 10 19 38 95 167 190 193 334 386 835 965 1,670 1,930 3,173 3,667 6,346 7,334 15,865 18,335 31,730 32,231 36,670 64,462 161,155 322,310 612,389 1,224,778 3,061,945 6,123,890

Collatz Trajectory (121 steps to reach 1)

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

6,123,890 3,061,945 9,185,836 4,592,918 2,296,459 6,889,378 3,444,689 10,334,068 5,167,034 2,583,517 7,750,552 3,875,276 1,937,638 968,819 2,906,458 1,453,229 4,359,688 2,179,844 1,089,922 544,961 1,634,884 817,442 408,721 1,226,164 613,082 306,541 919,624 459,812 229,906 114,953 344,860 172,430 86,215 258,646 129,323 387,970 193,985 581,956 290,978 145,489 436,468 218,234 109,117 327,352 163,676 81,838 40,919 122,758 61,379 184,138 92,069 276,208 138,104 69,052 34,526 17,263 51,790 25,895 77,686 38,843

More profiles

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