7,246,225

5² × 7 × 47 × 881

7,246,225 factors as 5^2 × 7 × 47 × 881. Its 24 positive divisors give a proper-divisor sum of 3,253,103, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 47 × 881

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,499,328

Proper Divisor Sum 3,253,103

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7246207 ← → #7246229

Radix Representation

Decimal	7246225
Binary	11011101001000110010001 (23 bits)
Octal	0o33510621
Hexadecimal	0x6E9191

Divisor Catalog (24)

1 5 7 25 35 47 175 235 329 881 1,175 1,645 4,405 6,167 8,225 22,025 30,835 41,407 154,175 207,035 289,849 1,035,175 1,449,245 7,246,225

Collatz Trajectory (116 steps to reach 1)

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

7,246,225 21,738,676 10,869,338 5,434,669 16,304,008 8,152,004 4,076,002 2,038,001 6,114,004 3,057,002 1,528,501 4,585,504 2,292,752 1,146,376 573,188 286,594 143,297 429,892 214,946 107,473 322,420 161,210 80,605 241,816 120,908 60,454 30,227 90,682 45,341 136,024 68,012 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521 64,564 32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666

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