λ
Integer Codex

1,034,721

33 × 19 × 2017
Deficient Odd Composite

For 1,034,721, the 16 positive divisors have a total of 1,614,400. Removing 1,034,721 leaves 579,679, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 19 × 2017
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,614,400
Proper Divisor Sum 579,679
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1034707 ← → #1034729

Radix Representation

Decimal 1034721
Binary 11111100100111100001 (20 bits)
Octal 0o3744741
Hexadecimal 0xFC9E1

Divisor Catalog (16)

1 3 9 19 27 57 171 513 2,017 6,051 18,153 38,323 54,459 114,969 344,907 1,034,721

Collatz Trajectory (90 steps to reach 1)

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

1,034,721 3,104,164 1,552,082 776,041 2,328,124 1,164,062 582,031 1,746,094 873,047 2,619,142 1,309,571 3,928,714 1,964,357 5,893,072 2,946,536 1,473,268 736,634 368,317 1,104,952 552,476 276,238 138,119 414,358 207,179 621,538 310,769 932,308 466,154 233,077 699,232 349,616 174,808 87,404 43,702 21,851 65,554 32,777 98,332 49,166 24,583 73,750 36,875 110,626 55,313 165,940 82,970 41,485 124,456 62,228 31,114 15,557 46,672 23,336 11,668 5,834 2,917 8,752 4,376 2,188 1,094

More profiles

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