λ
Sigma Notebook

9,923,337

33 × 367531
Deficient Odd Composite

9,923,337 is odd and not a perfect square. Its factorization is 3^3 × 367531 and its 8 divisors sum to 14,701,280.

Prime Factor Structure

Factorization String 3^3 × 367531
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,701,280
Proper Divisor Sum 4,777,943
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9923323 ← → #9923341

Radix Representation

Decimal 9923337
Binary 100101110110101100001001 (24 bits)
Octal 0o45665411
Hexadecimal 0x976B09

Divisor Catalog (8)

1 3 9 27 367,531 1,102,593 3,307,779 9,923,337

Collatz Trajectory (145 steps to reach 1)

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

9,923,337 29,770,012 14,885,006 7,442,503 22,327,510 11,163,755 33,491,266 16,745,633 50,236,900 25,118,450 12,559,225 37,677,676 18,838,838 9,419,419 28,258,258 14,129,129 42,387,388 21,193,694 10,596,847 31,790,542 15,895,271 47,685,814 23,842,907 71,528,722 35,764,361 107,293,084 53,646,542 26,823,271 80,469,814 40,234,907 120,704,722 60,352,361 181,057,084 90,528,542 45,264,271 135,792,814 67,896,407 203,689,222 101,844,611 305,533,834 152,766,917 458,300,752 229,150,376 114,575,188 57,287,594 28,643,797 85,931,392 42,965,696 21,482,848 10,741,424 5,370,712 2,685,356 1,342,678 671,339 2,014,018 1,007,009 3,021,028 1,510,514 755,257 2,265,772

More profiles

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