λ
Integer Codex

6,194,625

3 × 53 × 16519
Deficient Odd Composite

For 6,194,625, the 16 positive divisors have a total of 10,308,480. Removing 6,194,625 leaves 4,113,855, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5^3 × 16519
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,308,480
Proper Divisor Sum 4,113,855
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6194621 ← → #6194663

Radix Representation

Decimal 6194625
Binary 10111101000010111000001 (23 bits)
Octal 0o27502701
Hexadecimal 0x5E85C1

Divisor Catalog (16)

1 3 5 15 25 75 125 375 16,519 49,557 82,595 247,785 412,975 1,238,925 2,064,875 6,194,625

Collatz Trajectory (170 steps to reach 1)

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

6,194,625 18,583,876 9,291,938 4,645,969 13,937,908 6,968,954 3,484,477 10,453,432 5,226,716 2,613,358 1,306,679 3,920,038 1,960,019 5,880,058 2,940,029 8,820,088 4,410,044 2,205,022 1,102,511 3,307,534 1,653,767 4,961,302 2,480,651 7,441,954 3,720,977 11,162,932 5,581,466 2,790,733 8,372,200 4,186,100 2,093,050 1,046,525 3,139,576 1,569,788 784,894 392,447 1,177,342 588,671 1,766,014 883,007 2,649,022 1,324,511 3,973,534 1,986,767 5,960,302 2,980,151 8,940,454 4,470,227 13,410,682 6,705,341 20,116,024 10,058,012 5,029,006 2,514,503 7,543,510 3,771,755 11,315,266 5,657,633 16,972,900 8,486,450

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