λ
Harmonic Matrix

1,189,276

22 × 11 × 151 × 179
Deficient Even Composite

1,189,276 has digital root 7. The neighboring primes are 1189271 and 1189277; its proper-divisor sum differs from the starting integer by -80,312.

Prime Factor Structure

Factorization String 2^2 × 11 × 151 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,298,240
Proper Divisor Sum 1,108,964
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1189271 ← → #1189277

Radix Representation

Decimal 1189276
Binary 100100010010110011100 (21 bits)
Octal 0o4422634
Hexadecimal 0x12259C

Divisor Catalog (24)

1 2 4 11 22 44 151 179 302 358 604 716 1,661 1,969 3,322 3,938 6,644 7,876 27,029 54,058 108,116 297,319 594,638 1,189,276

Collatz Trajectory (266 steps to reach 1)

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

1,189,276 594,638 297,319 891,958 445,979 1,337,938 668,969 2,006,908 1,003,454 501,727 1,505,182 752,591 2,257,774 1,128,887 3,386,662 1,693,331 5,079,994 2,539,997 7,619,992 3,809,996 1,904,998 952,499 2,857,498 1,428,749 4,286,248 2,143,124 1,071,562 535,781 1,607,344 803,672 401,836 200,918 100,459 301,378 150,689 452,068 226,034 113,017 339,052 169,526 84,763 254,290 127,145 381,436 190,718 95,359 286,078 143,039 429,118 214,559 643,678 321,839 965,518 482,759 1,448,278 724,139 2,172,418 1,086,209 3,258,628 1,629,314

More profiles

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