λ
Integer Codex

6,786,377

13 × 29 × 47 × 383
Deficient Odd Composite

For 6,786,377, the 16 positive divisors have a total of 7,741,440. Removing 6,786,377 leaves 955,063, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 29 × 47 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,741,440
Proper Divisor Sum 955,063
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #6786371 ← → #6786391

Radix Representation

Decimal 6786377
Binary 11001111000110101001001 (23 bits)
Octal 0o31706511
Hexadecimal 0x678D49

Divisor Catalog (16)

1 13 29 47 377 383 611 1,363 4,979 11,107 17,719 18,001 144,391 234,013 522,029 6,786,377

Collatz Trajectory (178 steps to reach 1)

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

6,786,377 20,359,132 10,179,566 5,089,783 15,269,350 7,634,675 22,904,026 11,452,013 34,356,040 17,178,020 8,589,010 4,294,505 12,883,516 6,441,758 3,220,879 9,662,638 4,831,319 14,493,958 7,246,979 21,740,938 10,870,469 32,611,408 16,305,704 8,152,852 4,076,426 2,038,213 6,114,640 3,057,320 1,528,660 764,330 382,165 1,146,496 573,248 286,624 143,312 71,656 35,828 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196

More profiles

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