λ
Sigma Notebook

2,303,151

3 × 23 × 29 × 1151
Deficient Odd Composite

2,303,151 is odd and not a perfect square. Its factorization is 3 × 23 × 29 × 1151 and its 16 divisors sum to 3,317,760.

Prime Factor Structure

Factorization String 3 × 23 × 29 × 1151
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,317,760
Proper Divisor Sum 1,014,609
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2303137 ← → #2303153

Radix Representation

Decimal 2303151
Binary 1000110010010010101111 (22 bits)
Octal 0o10622257
Hexadecimal 0x2324AF

Divisor Catalog (16)

1 3 23 29 69 87 667 1,151 2,001 3,453 26,473 33,379 79,419 100,137 767,717 2,303,151

Collatz Trajectory (161 steps to reach 1)

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

2,303,151 6,909,454 3,454,727 10,364,182 5,182,091 15,546,274 7,773,137 23,319,412 11,659,706 5,829,853 17,489,560 8,744,780 4,372,390 2,186,195 6,558,586 3,279,293 9,837,880 4,918,940 2,459,470 1,229,735 3,689,206 1,844,603 5,533,810 2,766,905 8,300,716 4,150,358 2,075,179 6,225,538 3,112,769 9,338,308 4,669,154 2,334,577 7,003,732 3,501,866 1,750,933 5,252,800 2,626,400 1,313,200 656,600 328,300 164,150 82,075 246,226 123,113 369,340 184,670 92,335 277,006 138,503 415,510 207,755 623,266 311,633 934,900 467,450 233,725 701,176 350,588 175,294 87,647

More profiles

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