λ
Math Directory

9,509,737

53 × 179429
Deficient Odd Composite

9,509,737 factors as 53 × 179429. Its 4 positive divisors give a proper-divisor sum of 179,483, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 53 × 179429
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,689,220
Proper Divisor Sum 179,483
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9509729 ← → #9509761

Radix Representation

Decimal 9509737
Binary 100100010001101101101001 (24 bits)
Octal 0o44215551
Hexadecimal 0x911B69

Divisor Catalog (4)

1 53 179,429 9,509,737

Collatz Trajectory (176 steps to reach 1)

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

9,509,737 28,529,212 14,264,606 7,132,303 21,396,910 10,698,455 32,095,366 16,047,683 48,143,050 24,071,525 72,214,576 36,107,288 18,053,644 9,026,822 4,513,411 13,540,234 6,770,117 20,310,352 10,155,176 5,077,588 2,538,794 1,269,397 3,808,192 1,904,096 952,048 476,024 238,012 119,006 59,503 178,510 89,255 267,766 133,883 401,650 200,825 602,476 301,238 150,619 451,858 225,929 677,788 338,894 169,447 508,342 254,171 762,514 381,257 1,143,772 571,886 285,943 857,830 428,915 1,286,746 643,373 1,930,120 965,060 482,530 241,265 723,796 361,898

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