λ
Harmonic Matrix

1,091,421

33 × 40423
Deficient Odd Composite

1,091,421 has digital root 9. The neighboring primes are 1091413 and 1091443; its proper-divisor sum differs from the starting integer by -565,882.

Prime Factor Structure

Factorization String 3^3 × 40423
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,616,960
Proper Divisor Sum 525,539
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1091413 ← → #1091443

Radix Representation

Decimal 1091421
Binary 100001010011101011101 (21 bits)
Octal 0o4123535
Hexadecimal 0x10A75D

Divisor Catalog (8)

1 3 9 27 40,423 121,269 363,807 1,091,421

Collatz Trajectory (209 steps to reach 1)

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

1,091,421 3,274,264 1,637,132 818,566 409,283 1,227,850 613,925 1,841,776 920,888 460,444 230,222 115,111 345,334 172,667 518,002 259,001 777,004 388,502 194,251 582,754 291,377 874,132 437,066 218,533 655,600 327,800 163,900 81,950 40,975 122,926 61,463 184,390 92,195 276,586 138,293 414,880 207,440 103,720 51,860 25,930 12,965 38,896 19,448 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552

More profiles

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