λ
Modular Archive

1,003,065

3 × 5 × 7 × 41 × 233
Deficient Odd Composite

The decimal integer 1,003,065 is 11110100111000111001 in binary (20 bits), 3647071 in octal and F4E39 in hexadecimal. Its digit sum is 15.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 41 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,886,976
Proper Divisor Sum 883,911
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1003049 ← → #1003087

Radix Representation

Decimal 1003065
Binary 11110100111000111001 (20 bits)
Octal 0o3647071
Hexadecimal 0xF4E39

Divisor Catalog (32)

1 3 5 7 15 21 35 41 105 123 205 233 287 615 699 861 1,165 1,435 1,631 3,495 4,305 4,893 8,155 9,553 24,465 28,659 47,765 66,871 143,295 200,613 334,355 1,003,065

Collatz Trajectory (183 steps to reach 1)

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

1,003,065 3,009,196 1,504,598 752,299 2,256,898 1,128,449 3,385,348 1,692,674 846,337 2,539,012 1,269,506 634,753 1,904,260 952,130 476,065 1,428,196 714,098 357,049 1,071,148 535,574 267,787 803,362 401,681 1,205,044 602,522 301,261 903,784 451,892 225,946 112,973 338,920 169,460 84,730 42,365 127,096 63,548 31,774 15,887 47,662 23,831 71,494 35,747 107,242 53,621 160,864 80,432 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061

More profiles

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