λ
Harmonic Matrix

1,361,663

181 × 7523
Deficient Odd Composite

1,361,663 has digital root 8. The neighboring primes are 1361629 and 1361677; its proper-divisor sum differs from the starting integer by -1,353,958.

Prime Factor Structure

Factorization String 181 × 7523
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,369,368
Proper Divisor Sum 7,705
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1361629 ← → #1361677

Radix Representation

Decimal 1361663
Binary 101001100011011111111 (21 bits)
Octal 0o5143377
Hexadecimal 0x14C6FF

Divisor Catalog (4)

1 181 7,523 1,361,663

Collatz Trajectory (111 steps to reach 1)

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

1,361,663 4,084,990 2,042,495 6,127,486 3,063,743 9,191,230 4,595,615 13,786,846 6,893,423 20,680,270 10,340,135 31,020,406 15,510,203 46,530,610 23,265,305 69,795,916 34,897,958 17,448,979 52,346,938 26,173,469 78,520,408 39,260,204 19,630,102 9,815,051 29,445,154 14,722,577 44,167,732 22,083,866 11,041,933 33,125,800 16,562,900 8,281,450 4,140,725 12,422,176 6,211,088 3,105,544 1,552,772 776,386 388,193 1,164,580 582,290 291,145 873,436 436,718 218,359 655,078 327,539 982,618 491,309 1,473,928 736,964 368,482 184,241 552,724 276,362 138,181 414,544 207,272 103,636 51,818

More profiles

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