λ
Sigma Notebook

2,317,407

3 × 281 × 2749
Deficient Odd Composite

2,317,407 is odd and not a perfect square. Its factorization is 3 × 281 × 2749 and its 8 divisors sum to 3,102,000.

Prime Factor Structure

Factorization String 3 × 281 × 2749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,102,000
Proper Divisor Sum 784,593
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2317391 ← → #2317433

Radix Representation

Decimal 2317407
Binary 1000110101110001011111 (22 bits)
Octal 0o10656137
Hexadecimal 0x235C5F

Divisor Catalog (8)

1 3 281 843 2,749 8,247 772,469 2,317,407

Collatz Trajectory (192 steps to reach 1)

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

2,317,407 6,952,222 3,476,111 10,428,334 5,214,167 15,642,502 7,821,251 23,463,754 11,731,877 35,195,632 17,597,816 8,798,908 4,399,454 2,199,727 6,599,182 3,299,591 9,898,774 4,949,387 14,848,162 7,424,081 22,272,244 11,136,122 5,568,061 16,704,184 8,352,092 4,176,046 2,088,023 6,264,070 3,132,035 9,396,106 4,698,053 14,094,160 7,047,080 3,523,540 1,761,770 880,885 2,642,656 1,321,328 660,664 330,332 165,166 82,583 247,750 123,875 371,626 185,813 557,440 278,720 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450

More profiles

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