λ
Ratio Atlas

7,343,525

52 × 7 × 29 × 1447
Deficient Odd Composite

7,343,525 factors as 5^2 × 7 × 29 × 1447. Its 24 positive divisors give a proper-divisor sum of 3,429,595, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 29 × 1447
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,773,120
Proper Divisor Sum 3,429,595
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7343489 ← → #7343527

Radix Representation

Decimal 7343525
Binary 11100000000110110100101 (23 bits)
Octal 0o34006645
Hexadecimal 0x700DA5

Divisor Catalog (24)

1 5 7 25 29 35 145 175 203 725 1,015 1,447 5,075 7,235 10,129 36,175 41,963 50,645 209,815 253,225 293,741 1,049,075 1,468,705 7,343,525

Collatz Trajectory (116 steps to reach 1)

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

7,343,525 22,030,576 11,015,288 5,507,644 2,753,822 1,376,911 4,130,734 2,065,367 6,196,102 3,098,051 9,294,154 4,647,077 13,941,232 6,970,616 3,485,308 1,742,654 871,327 2,613,982 1,306,991 3,920,974 1,960,487 5,881,462 2,940,731 8,822,194 4,411,097 13,233,292 6,616,646 3,308,323 9,924,970 4,962,485 14,887,456 7,443,728 3,721,864 1,860,932 930,466 465,233 1,395,700 697,850 348,925 1,046,776 523,388 261,694 130,847 392,542 196,271 588,814 294,407 883,222 441,611 1,324,834 662,417 1,987,252 993,626 496,813 1,490,440 745,220 372,610 186,305 558,916 279,458

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