λ
Harmonic Matrix

3,076,731

33 × 7 × 73 × 223
Deficient Odd Composite

3,076,731 has digital root 9. The neighboring primes are 3076721 and 3076741; its proper-divisor sum differs from the starting integer by -849,142.

Prime Factor Structure

Factorization String 3^3 × 7 × 73 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,304,320
Proper Divisor Sum 2,227,589
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3076721 ← → #3076741

Radix Representation

Decimal 3076731
Binary 1011101111001001111011 (22 bits)
Octal 0o13571173
Hexadecimal 0x2EF27B

Divisor Catalog (32)

1 3 7 9 21 27 63 73 189 219 223 511 657 669 1,533 1,561 1,971 2,007 4,599 4,683 6,021 13,797 14,049 16,279 42,147 48,837 113,953 146,511 341,859 439,533 1,025,577 3,076,731

Collatz Trajectory (76 steps to reach 1)

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

3,076,731 9,230,194 4,615,097 13,845,292 6,922,646 3,461,323 10,383,970 5,191,985 15,575,956 7,787,978 3,893,989 11,681,968 5,840,984 2,920,492 1,460,246 730,123 2,190,370 1,095,185 3,285,556 1,642,778 821,389 2,464,168 1,232,084 616,042 308,021 924,064 462,032 231,016 115,508 57,754 28,877 86,632 43,316 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544

More profiles

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