λ
Sigma Notebook

2,679,213

3 × 673 × 1327
Deficient Odd Composite

2,679,213 is odd and not a perfect square. Its factorization is 3 × 673 × 1327 and its 8 divisors sum to 3,580,288.

Prime Factor Structure

Factorization String 3 × 673 × 1327
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,580,288
Proper Divisor Sum 901,075
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2679211 ← → #2679233

Radix Representation

Decimal 2679213
Binary 1010001110000110101101 (22 bits)
Octal 0o12160655
Hexadecimal 0x28E1AD

Divisor Catalog (8)

1 3 673 1,327 2,019 3,981 893,071 2,679,213

Collatz Trajectory (187 steps to reach 1)

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

2,679,213 8,037,640 4,018,820 2,009,410 1,004,705 3,014,116 1,507,058 753,529 2,260,588 1,130,294 565,147 1,695,442 847,721 2,543,164 1,271,582 635,791 1,907,374 953,687 2,861,062 1,430,531 4,291,594 2,145,797 6,437,392 3,218,696 1,609,348 804,674 402,337 1,207,012 603,506 301,753 905,260 452,630 226,315 678,946 339,473 1,018,420 509,210 254,605 763,816 381,908 190,954 95,477 286,432 143,216 71,608 35,804 17,902 8,951 26,854 13,427 40,282 20,141 60,424 30,212 15,106 7,553 22,660 11,330 5,665 16,996

More profiles

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