λ
Harmonic Matrix

9,866,047

9866047
Deficient Odd Prime

9,866,047 has digital root 4. The neighboring primes are 9866041 and 9866071; its proper-divisor sum differs from the starting integer by -9,866,046.

Prime Factor Structure

Factorization String 9866047
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,866,048
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9866041 ← → #9866071

Radix Representation

Decimal 9866047
Binary 100101101000101100111111 (24 bits)
Octal 0o45505477
Hexadecimal 0x968B3F

Divisor Catalog (2)

Collatz Trajectory (207 steps to reach 1)

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

9,866,047 29,598,142 14,799,071 44,397,214 22,198,607 66,595,822 33,297,911 99,893,734 49,946,867 149,840,602 74,920,301 224,760,904 112,380,452 56,190,226 28,095,113 84,285,340 42,142,670 21,071,335 63,214,006 31,607,003 94,821,010 47,410,505 142,231,516 71,115,758 35,557,879 106,673,638 53,336,819 160,010,458 80,005,229 240,015,688 120,007,844 60,003,922 30,001,961 90,005,884 45,002,942 22,501,471 67,504,414 33,752,207 101,256,622 50,628,311 151,884,934 75,942,467 227,827,402 113,913,701 341,741,104 170,870,552 85,435,276 42,717,638 21,358,819 64,076,458 32,038,229 96,114,688 48,057,344 24,028,672 12,014,336 6,007,168 3,003,584 1,501,792 750,896 375,448

More profiles

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