λ
Sigma Notebook

8,021,985

3 × 5 × 534799
Deficient Odd Composite

8,021,985 is odd and not a perfect square. Its factorization is 3 × 5 × 534799 and its 8 divisors sum to 12,835,200.

Prime Factor Structure

Factorization String 3 × 5 × 534799
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,835,200
Proper Divisor Sum 4,813,215
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8021969 ← → #8021989

Radix Representation

Decimal 8021985
Binary 11110100110011111100001 (23 bits)
Octal 0o36463741
Hexadecimal 0x7A67E1

Divisor Catalog (8)

1 3 5 15 534,799 1,604,397 2,673,995 8,021,985

Collatz Trajectory (230 steps to reach 1)

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

8,021,985 24,065,956 12,032,978 6,016,489 18,049,468 9,024,734 4,512,367 13,537,102 6,768,551 20,305,654 10,152,827 30,458,482 15,229,241 45,687,724 22,843,862 11,421,931 34,265,794 17,132,897 51,398,692 25,699,346 12,849,673 38,549,020 19,274,510 9,637,255 28,911,766 14,455,883 43,367,650 21,683,825 65,051,476 32,525,738 16,262,869 48,788,608 24,394,304 12,197,152 6,098,576 3,049,288 1,524,644 762,322 381,161 1,143,484 571,742 285,871 857,614 428,807 1,286,422 643,211 1,929,634 964,817 2,894,452 1,447,226 723,613 2,170,840 1,085,420 542,710 271,355 814,066 407,033 1,221,100 610,550 305,275

More profiles

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