λ
Harmonic Matrix

8,268,721

1621 × 5101
Deficient Odd Composite

8,268,721 has digital root 7. The neighboring primes are 8268713 and 8268739; its proper-divisor sum differs from the starting integer by -8,261,998.

Prime Factor Structure

Factorization String 1621 × 5101
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,275,444
Proper Divisor Sum 6,723
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8268713 ← → #8268739

Radix Representation

Decimal 8268721
Binary 11111100010101110110001 (23 bits)
Octal 0o37425661
Hexadecimal 0x7E2BB1

Divisor Catalog (4)

1 1,621 5,101 8,268,721

Collatz Trajectory (111 steps to reach 1)

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

8,268,721 24,806,164 12,403,082 6,201,541 18,604,624 9,302,312 4,651,156 2,325,578 1,162,789 3,488,368 1,744,184 872,092 436,046 218,023 654,070 327,035 981,106 490,553 1,471,660 735,830 367,915 1,103,746 551,873 1,655,620 827,810 413,905 1,241,716 620,858 310,429 931,288 465,644 232,822 116,411 349,234 174,617 523,852 261,926 130,963 392,890 196,445 589,336 294,668 147,334 73,667 221,002 110,501 331,504 165,752 82,876 41,438 20,719 62,158 31,079 93,238 46,619 139,858 69,929 209,788 104,894 52,447

More profiles

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