λ
Sigma Notebook

8,021,003

8021003
Deficient Odd Prime

8,021,003 is odd and not a perfect square. Its factorization is 8021003 and its 2 divisors sum to 8,021,004.

Prime Factor Structure

Factorization String 8021003
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,021,004
Proper Divisor Sum 1
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #8020993 ← → #8021009

Radix Representation

Decimal 8021003
Binary 11110100110010000001011 (23 bits)
Octal 0o36462013
Hexadecimal 0x7A640B

Divisor Catalog (2)

1 8,021,003

Collatz Trajectory (67 steps to reach 1)

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

8,021,003 24,063,010 12,031,505 36,094,516 18,047,258 9,023,629 27,070,888 13,535,444 6,767,722 3,383,861 10,151,584 5,075,792 2,537,896 1,268,948 634,474 317,237 951,712 475,856 237,928 118,964 59,482 29,741 89,224 44,612 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40

More profiles

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