λ
Harmonic Matrix

6,174,391

6174391
Deficient Odd Prime

6,174,391 has digital root 4. The neighboring primes are 6174379 and 6174431; its proper-divisor sum differs from the starting integer by -6,174,390.

Prime Factor Structure

Factorization String 6174391
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,174,392
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6174379 ← → #6174431

Radix Representation

Decimal 6174391
Binary 10111100011011010110111 (23 bits)
Octal 0o27433267
Hexadecimal 0x5E36B7

Divisor Catalog (2)

1 6,174,391

Collatz Trajectory (209 steps to reach 1)

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

6,174,391 18,523,174 9,261,587 27,784,762 13,892,381 41,677,144 20,838,572 10,419,286 5,209,643 15,628,930 7,814,465 23,443,396 11,721,698 5,860,849 17,582,548 8,791,274 4,395,637 13,186,912 6,593,456 3,296,728 1,648,364 824,182 412,091 1,236,274 618,137 1,854,412 927,206 463,603 1,390,810 695,405 2,086,216 1,043,108 521,554 260,777 782,332 391,166 195,583 586,750 293,375 880,126 440,063 1,320,190 660,095 1,980,286 990,143 2,970,430 1,485,215 4,455,646 2,227,823 6,683,470 3,341,735 10,025,206 5,012,603 15,037,810 7,518,905 22,556,716 11,278,358 5,639,179 16,917,538 8,458,769

More profiles

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