λ
Harmonic Matrix

6,091,011

33 × 433 × 521
Deficient Odd Composite

6,091,011 has digital root 9. The neighboring primes are 6090949 and 6091027; its proper-divisor sum differs from the starting integer by -3,120,102.

Prime Factor Structure

Factorization String 3^3 × 433 × 521
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,061,920
Proper Divisor Sum 2,970,909
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6090949 ← → #6091027

Radix Representation

Decimal 6091011
Binary 10111001111000100000011 (23 bits)
Octal 0o27170403
Hexadecimal 0x5CF103

Divisor Catalog (16)

1 3 9 27 433 521 1,299 1,563 3,897 4,689 11,691 14,067 225,593 676,779 2,030,337 6,091,011

Collatz Trajectory (134 steps to reach 1)

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

6,091,011 18,273,034 9,136,517 27,409,552 13,704,776 6,852,388 3,426,194 1,713,097 5,139,292 2,569,646 1,284,823 3,854,470 1,927,235 5,781,706 2,890,853 8,672,560 4,336,280 2,168,140 1,084,070 542,035 1,626,106 813,053 2,439,160 1,219,580 609,790 304,895 914,686 457,343 1,372,030 686,015 2,058,046 1,029,023 3,087,070 1,543,535 4,630,606 2,315,303 6,945,910 3,472,955 10,418,866 5,209,433 15,628,300 7,814,150 3,907,075 11,721,226 5,860,613 17,581,840 8,790,920 4,395,460 2,197,730 1,098,865 3,296,596 1,648,298 824,149 2,472,448 1,236,224 618,112 309,056 154,528 77,264 38,632

More profiles

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