λ
Sigma Notebook

8,187,907

7 × 13 × 89977
Deficient Odd Composite

8,187,907 is odd and not a perfect square. Its factorization is 7 × 13 × 89977 and its 8 divisors sum to 10,077,536.

Prime Factor Structure

Factorization String 7 × 13 × 89977
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,077,536
Proper Divisor Sum 1,889,629
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8187887 ← → #8187913

Radix Representation

Decimal 8187907
Binary 11111001111000000000011 (23 bits)
Octal 0o37170003
Hexadecimal 0x7CF003

Divisor Catalog (8)

1 7 13 91 89,977 629,839 1,169,701 8,187,907

Collatz Trajectory (230 steps to reach 1)

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

8,187,907 24,563,722 12,281,861 36,845,584 18,422,792 9,211,396 4,605,698 2,302,849 6,908,548 3,454,274 1,727,137 5,181,412 2,590,706 1,295,353 3,886,060 1,943,030 971,515 2,914,546 1,457,273 4,371,820 2,185,910 1,092,955 3,278,866 1,639,433 4,918,300 2,459,150 1,229,575 3,688,726 1,844,363 5,533,090 2,766,545 8,299,636 4,149,818 2,074,909 6,224,728 3,112,364 1,556,182 778,091 2,334,274 1,167,137 3,501,412 1,750,706 875,353 2,626,060 1,313,030 656,515 1,969,546 984,773 2,954,320 1,477,160 738,580 369,290 184,645 553,936 276,968 138,484 69,242 34,621 103,864 51,932

More profiles

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