7,263,008

2⁵ × 263 × 863

7,263,008 is even and not a perfect square. Its factorization is 2^5 × 263 × 863 and its 24 divisors sum to 14,370,048.

Prime Factor Structure

Factorization String 2^5 × 263 × 863

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,370,048

Proper Divisor Sum 7,107,040

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7262953 ← → #7263013

Radix Representation

Decimal	7263008
Binary	11011101101001100100000 (23 bits)
Octal	0o33551440
Hexadecimal	0x6ED320

Divisor Catalog (24)

1 2 4 8 16 32 263 526 863 1,052 1,726 2,104 3,452 4,208 6,904 8,416 13,808 27,616 226,969 453,938 907,876 1,815,752 3,631,504 7,263,008

Collatz Trajectory (111 steps to reach 1)

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

7,263,008 3,631,504 1,815,752 907,876 453,938 226,969 680,908 340,454 170,227 510,682 255,341 766,024 383,012 191,506 95,753 287,260 143,630 71,815 215,446 107,723 323,170 161,585 484,756 242,378 121,189 363,568 181,784 90,892 45,446 22,723 68,170 34,085 102,256 51,128 25,564 12,782 6,391 19,174 9,587 28,762 14,381 43,144 21,572 10,786 5,393 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282

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