7,421,664

2⁵ × 3 × 97 × 797

7,421,664 has the prime decomposition 2^5 × 3 × 97 × 797. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 97 × 797

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,707,408

Proper Divisor Sum 12,285,744

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7421641 ← → #7421677

Radix Representation

Decimal	7421664
Binary	11100010011111011100000 (23 bits)
Octal	0o34237340
Hexadecimal	0x713EE0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 797 1,164 1,552 1,594 2,328 2,391 3,104 3,188 4,656 4,782 6,376 9,312 9,564 12,752 19,128 25,504 38,256 76,512 77,309 154,618 231,927 309,236 463,854 618,472 927,708 1,236,944 1,855,416 2,473,888 3,710,832 7,421,664

Collatz Trajectory (186 steps to reach 1)

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

7,421,664 3,710,832 1,855,416 927,708 463,854 231,927 695,782 347,891 1,043,674 521,837 1,565,512 782,756 391,378 195,689 587,068 293,534 146,767 440,302 220,151 660,454 330,227 990,682 495,341 1,486,024 743,012 371,506 185,753 557,260 278,630 139,315 417,946 208,973 626,920 313,460 156,730 78,365 235,096 117,548 58,774 29,387 88,162 44,081 132,244 66,122 33,061 99,184 49,592 24,796 12,398 6,199 18,598 9,299 27,898 13,949 41,848 20,924 10,462 5,231 15,694 7,847

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