7,265,824

2⁵ × 47 × 4831

7,265,824 has digital root 7. The neighboring primes are 7265813 and 7265837; its proper-divisor sum differs from the starting integer by 80,320.

Prime Factor Structure

Factorization String 2^5 × 47 × 4831

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,611,968

Proper Divisor Sum 7,346,144

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7265813 ← → #7265837

Radix Representation

Decimal	7265824
Binary	11011101101111000100000 (23 bits)
Octal	0o33557040
Hexadecimal	0x6EDE20

Divisor Catalog (24)

1 2 4 8 16 32 47 94 188 376 752 1,504 4,831 9,662 19,324 38,648 77,296 154,592 227,057 454,114 908,228 1,816,456 3,632,912 7,265,824

Collatz Trajectory (67 steps to reach 1)

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

7,265,824 3,632,912 1,816,456 908,228 454,114 227,057 681,172 340,586 170,293 510,880 255,440 127,720 63,860 31,930 15,965 47,896 23,948 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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