λ
Integer Codex

6,740,912

24 × 79 × 5333
Deficient Even Composite

For 6,740,912, the 20 positive divisors have a total of 13,228,320. Removing 6,740,912 leaves 6,487,408, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^4 × 79 × 5333
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 13,228,320
Proper Divisor Sum 6,487,408
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6740897 ← → #6740917

Radix Representation

Decimal 6740912
Binary 11001101101101110110000 (23 bits)
Octal 0o31555660
Hexadecimal 0x66DBB0

Divisor Catalog (20)

1 2 4 8 16 79 158 316 632 1,264 5,333 10,666 21,332 42,664 85,328 421,307 842,614 1,685,228 3,370,456 6,740,912

Collatz Trajectory (178 steps to reach 1)

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

6,740,912 3,370,456 1,685,228 842,614 421,307 1,263,922 631,961 1,895,884 947,942 473,971 1,421,914 710,957 2,132,872 1,066,436 533,218 266,609 799,828 399,914 199,957 599,872 299,936 149,968 74,984 37,492 18,746 9,373 28,120 14,060 7,030 3,515 10,546 5,273 15,820 7,910 3,955 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199

More profiles

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