λ
Prime Ledger

7,744,664

23 × 67 × 14449
Deficient Even Composite

7,744,664 has the prime decomposition 2^3 × 67 × 14449. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 67 × 14449
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,739,000
Proper Divisor Sum 6,994,336
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7744657 ← → #7744669

Radix Representation

Decimal 7744664
Binary 11101100010110010011000 (23 bits)
Octal 0o35426230
Hexadecimal 0x762C98

Divisor Catalog (16)

1 2 4 8 67 134 268 536 14,449 28,898 57,796 115,592 968,083 1,936,166 3,872,332 7,744,664

Collatz Trajectory (217 steps to reach 1)

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

7,744,664 3,872,332 1,936,166 968,083 2,904,250 1,452,125 4,356,376 2,178,188 1,089,094 544,547 1,633,642 816,821 2,450,464 1,225,232 612,616 306,308 153,154 76,577 229,732 114,866 57,433 172,300 86,150 43,075 129,226 64,613 193,840 96,920 48,460 24,230 12,115 36,346 18,173 54,520 27,260 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189

More profiles

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