λ
Ratio Atlas

9,229,977

33 × 341851
Deficient Odd Composite

9,229,977 factors as 3^3 × 341851. Its 8 positive divisors give a proper-divisor sum of 4,444,103, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 3^3 × 341851
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,674,080
Proper Divisor Sum 4,444,103
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9229973 ← → #9230009

Radix Representation

Decimal 9229977
Binary 100011001101011010011001 (24 bits)
Octal 0o43153231
Hexadecimal 0x8CD699

Divisor Catalog (8)

1 3 9 27 341,851 1,025,553 3,076,659 9,229,977

Collatz Trajectory (181 steps to reach 1)

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

9,229,977 27,689,932 13,844,966 6,922,483 20,767,450 10,383,725 31,151,176 15,575,588 7,787,794 3,893,897 11,681,692 5,840,846 2,920,423 8,761,270 4,380,635 13,141,906 6,570,953 19,712,860 9,856,430 4,928,215 14,784,646 7,392,323 22,176,970 11,088,485 33,265,456 16,632,728 8,316,364 4,158,182 2,079,091 6,237,274 3,118,637 9,355,912 4,677,956 2,338,978 1,169,489 3,508,468 1,754,234 877,117 2,631,352 1,315,676 657,838 328,919 986,758 493,379 1,480,138 740,069 2,220,208 1,110,104 555,052 277,526 138,763 416,290 208,145 624,436 312,218 156,109 468,328 234,164 117,082 58,541

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