λ
Harmonic Matrix

4,170,861

32 × 19 × 24391
Deficient Odd Composite

4,170,861 has digital root 9. The neighboring primes are 4170851 and 4170863; its proper-divisor sum differs from the starting integer by -1,999,802.

Prime Factor Structure

Factorization String 3^2 × 19 × 24391
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,341,920
Proper Divisor Sum 2,171,059
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4170851 ← → #4170863

Radix Representation

Decimal 4170861
Binary 1111111010010001101101 (22 bits)
Octal 0o17722155
Hexadecimal 0x3FA46D

Divisor Catalog (12)

1 3 9 19 57 171 24,391 73,173 219,519 463,429 1,390,287 4,170,861

Collatz Trajectory (136 steps to reach 1)

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

4,170,861 12,512,584 6,256,292 3,128,146 1,564,073 4,692,220 2,346,110 1,173,055 3,519,166 1,759,583 5,278,750 2,639,375 7,918,126 3,959,063 11,877,190 5,938,595 17,815,786 8,907,893 26,723,680 13,361,840 6,680,920 3,340,460 1,670,230 835,115 2,505,346 1,252,673 3,758,020 1,879,010 939,505 2,818,516 1,409,258 704,629 2,113,888 1,056,944 528,472 264,236 132,118 66,059 198,178 99,089 297,268 148,634 74,317 222,952 111,476 55,738 27,869 83,608 41,804 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458

More profiles

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