λ
Match Zalai

9,924,943

7 × 47 × 97 × 311
Deficient Odd Composite

9,924,943 factors as 7 × 47 × 97 × 311. Its 16 positive divisors give a proper-divisor sum of 1,816,241, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 7 × 47 × 97 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,741,184
Proper Divisor Sum 1,816,241
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9924919 ← → #9924949

Radix Representation

Decimal 9924943
Binary 100101110111000101001111 (24 bits)
Octal 0o45670517
Hexadecimal 0x97714F

Divisor Catalog (16)

1 7 47 97 311 329 679 2,177 4,559 14,617 30,167 31,913 102,319 211,169 1,417,849 9,924,943

Collatz Trajectory (145 steps to reach 1)

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

9,924,943 29,774,830 14,887,415 44,662,246 22,331,123 66,993,370 33,496,685 100,490,056 50,245,028 25,122,514 12,561,257 37,683,772 18,841,886 9,420,943 28,262,830 14,131,415 42,394,246 21,197,123 63,591,370 31,795,685 95,387,056 47,693,528 23,846,764 11,923,382 5,961,691 17,885,074 8,942,537 26,827,612 13,413,806 6,706,903 20,120,710 10,060,355 30,181,066 15,090,533 45,271,600 22,635,800 11,317,900 5,658,950 2,829,475 8,488,426 4,244,213 12,732,640 6,366,320 3,183,160 1,591,580 795,790 397,895 1,193,686 596,843 1,790,530 895,265 2,685,796 1,342,898 671,449 2,014,348 1,007,174 503,587 1,510,762 755,381 2,266,144

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