λ
Harmonic Matrix

1,181,297

13 × 89 × 1021
Deficient Odd Composite

1,181,297 has digital root 2. The neighboring primes are 1181293 and 1181309; its proper-divisor sum differs from the starting integer by -1,074,874.

Prime Factor Structure

Factorization String 13 × 89 × 1021
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,287,720
Proper Divisor Sum 106,423
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1181293 ← → #1181309

Radix Representation

Decimal 1181297
Binary 100100000011001110001 (21 bits)
Octal 0o4403161
Hexadecimal 0x120671

Divisor Catalog (8)

1 13 89 1,021 1,157 13,273 90,869 1,181,297

Collatz Trajectory (85 steps to reach 1)

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

1,181,297 3,543,892 1,771,946 885,973 2,657,920 1,328,960 664,480 332,240 166,120 83,060 41,530 20,765 62,296 31,148 15,574 7,787 23,362 11,681 35,044 17,522 8,761 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250

More profiles

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