λ
Sigma Notebook

1,023,711

3 × 13 × 26249
Deficient Odd Composite

1,023,711 is odd and not a perfect square. Its factorization is 3 × 13 × 26249 and its 8 divisors sum to 1,470,000.

Prime Factor Structure

Factorization String 3 × 13 × 26249
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,470,000
Proper Divisor Sum 446,289
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1023697 ← → #1023719

Radix Representation

Decimal 1023711
Binary 11111001111011011111 (20 bits)
Octal 0o3717337
Hexadecimal 0xF9EDF

Divisor Catalog (8)

1 3 13 39 26,249 78,747 341,237 1,023,711

Collatz Trajectory (227 steps to reach 1)

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

1,023,711 3,071,134 1,535,567 4,606,702 2,303,351 6,910,054 3,455,027 10,365,082 5,182,541 15,547,624 7,773,812 3,886,906 1,943,453 5,830,360 2,915,180 1,457,590 728,795 2,186,386 1,093,193 3,279,580 1,639,790 819,895 2,459,686 1,229,843 3,689,530 1,844,765 5,534,296 2,767,148 1,383,574 691,787 2,075,362 1,037,681 3,113,044 1,556,522 778,261 2,334,784 1,167,392 583,696 291,848 145,924 72,962 36,481 109,444 54,722 27,361 82,084 41,042 20,521 61,564 30,782 15,391 46,174 23,087 69,262 34,631 103,894 51,947 155,842 77,921 233,764

More profiles

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