λ
Math Directory

947,533

37 × 25609
Deficient Odd Composite

947,533 factors as 37 × 25609. Its 4 positive divisors give a proper-divisor sum of 25,647, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 37 × 25609
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 973,180
Proper Divisor Sum 25,647
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #947509 ← → #947539

Radix Representation

Decimal 947533
Binary 11100111010101001101 (20 bits)
Octal 0o3472515
Hexadecimal 0xE754D

Divisor Catalog (4)

1 37 25,609 947,533

Collatz Trajectory (126 steps to reach 1)

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

947,533 2,842,600 1,421,300 710,650 355,325 1,065,976 532,988 266,494 133,247 399,742 199,871 599,614 299,807 899,422 449,711 1,349,134 674,567 2,023,702 1,011,851 3,035,554 1,517,777 4,553,332 2,276,666 1,138,333 3,415,000 1,707,500 853,750 426,875 1,280,626 640,313 1,920,940 960,470 480,235 1,440,706 720,353 2,161,060 1,080,530 540,265 1,620,796 810,398 405,199 1,215,598 607,799 1,823,398 911,699 2,735,098 1,367,549 4,102,648 2,051,324 1,025,662 512,831 1,538,494 769,247 2,307,742 1,153,871 3,461,614 1,730,807 5,192,422 2,596,211 7,788,634

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