λ
Prime Ledger

6,177,309

3 × 53 × 38851
Deficient Odd Composite

6,177,309 has the prime decomposition 3 × 53 × 38851. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 53 × 38851
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,392,032
Proper Divisor Sum 2,214,723
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6177293 ← → #6177331

Radix Representation

Decimal 6177309
Binary 10111100100001000011101 (23 bits)
Octal 0o27441035
Hexadecimal 0x5E421D

Divisor Catalog (8)

1 3 53 159 38,851 116,553 2,059,103 6,177,309

Collatz Trajectory (209 steps to reach 1)

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

6,177,309 18,531,928 9,265,964 4,632,982 2,316,491 6,949,474 3,474,737 10,424,212 5,212,106 2,606,053 7,818,160 3,909,080 1,954,540 977,270 488,635 1,465,906 732,953 2,198,860 1,099,430 549,715 1,649,146 824,573 2,473,720 1,236,860 618,430 309,215 927,646 463,823 1,391,470 695,735 2,087,206 1,043,603 3,130,810 1,565,405 4,696,216 2,348,108 1,174,054 587,027 1,761,082 880,541 2,641,624 1,320,812 660,406 330,203 990,610 495,305 1,485,916 742,958 371,479 1,114,438 557,219 1,671,658 835,829 2,507,488 1,253,744 626,872 313,436 156,718 78,359 235,078

More profiles

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