λ
Harmonic Matrix

1,777,163

17 × 107 × 977
Deficient Odd Composite

1,777,163 has digital root 5. The neighboring primes are 1777133 and 1777169; its proper-divisor sum differs from the starting integer by -1,653,094.

Prime Factor Structure

Factorization String 17 × 107 × 977
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,901,232
Proper Divisor Sum 124,069
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1777133 ← → #1777169

Radix Representation

Decimal 1777163
Binary 110110001111000001011 (21 bits)
Octal 0o6617013
Hexadecimal 0x1B1E0B

Divisor Catalog (8)

1 17 107 977 1,819 16,609 104,539 1,777,163

Collatz Trajectory (158 steps to reach 1)

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

1,777,163 5,331,490 2,665,745 7,997,236 3,998,618 1,999,309 5,997,928 2,998,964 1,499,482 749,741 2,249,224 1,124,612 562,306 281,153 843,460 421,730 210,865 632,596 316,298 158,149 474,448 237,224 118,612 59,306 29,653 88,960 44,480 22,240 11,120 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322

More profiles

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