λ
Sigma Notebook

9,229,521

3 × 7 × 17 × 103 × 251
Deficient Odd Composite

9,229,521 is odd and not a perfect square. Its factorization is 3 × 7 × 17 × 103 × 251 and its 32 divisors sum to 15,095,808.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 103 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,095,808
Proper Divisor Sum 5,866,287
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9229513 ← → #9229523

Radix Representation

Decimal 9229521
Binary 100011001101010011010001 (24 bits)
Octal 0o43152321
Hexadecimal 0x8CD4D1

Divisor Catalog (32)

1 3 7 17 21 51 103 119 251 309 357 721 753 1,751 1,757 2,163 4,267 5,253 5,271 12,257 12,801 25,853 29,869 36,771 77,559 89,607 180,971 439,501 542,913 1,318,503 3,076,507 9,229,521

Collatz Trajectory (194 steps to reach 1)

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

9,229,521 27,688,564 13,844,282 6,922,141 20,766,424 10,383,212 5,191,606 2,595,803 7,787,410 3,893,705 11,681,116 5,840,558 2,920,279 8,760,838 4,380,419 13,141,258 6,570,629 19,711,888 9,855,944 4,927,972 2,463,986 1,231,993 3,695,980 1,847,990 923,995 2,771,986 1,385,993 4,157,980 2,078,990 1,039,495 3,118,486 1,559,243 4,677,730 2,338,865 7,016,596 3,508,298 1,754,149 5,262,448 2,631,224 1,315,612 657,806 328,903 986,710 493,355 1,480,066 740,033 2,220,100 1,110,050 555,025 1,665,076 832,538 416,269 1,248,808 624,404 312,202 156,101 468,304 234,152 117,076 58,538

More profiles

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