λ
Harmonic Matrix

1,197,882

2 × 33 × 7 × 3169
Abundant Even Composite

1,197,882 has digital root 9. The neighboring primes are 1197881 and 1197901; its proper-divisor sum differs from the starting integer by 647,436.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 3169
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,043,200
Proper Divisor Sum 1,845,318
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1197881 ← → #1197901

Radix Representation

Decimal 1197882
Binary 100100100011100111010 (21 bits)
Octal 0o4443472
Hexadecimal 0x12473A

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 3,169 6,338 9,507 19,014 22,183 28,521 44,366 57,042 66,549 85,563 133,098 171,126 199,647 399,294 598,941 1,197,882

Collatz Trajectory (129 steps to reach 1)

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

1,197,882 598,941 1,796,824 898,412 449,206 224,603 673,810 336,905 1,010,716 505,358 252,679 758,038 379,019 1,137,058 568,529 1,705,588 852,794 426,397 1,279,192 639,596 319,798 159,899 479,698 239,849 719,548 359,774 179,887 539,662 269,831 809,494 404,747 1,214,242 607,121 1,821,364 910,682 455,341 1,366,024 683,012 341,506 170,753 512,260 256,130 128,065 384,196 192,098 96,049 288,148 144,074 72,037 216,112 108,056 54,028 27,014 13,507 40,522 20,261 60,784 30,392 15,196 7,598

More profiles

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