λ
Harmonic Matrix

1,155,931

7 × 165133
Deficient Odd Composite

1,155,931 has digital root 7. The neighboring primes are 1155929 and 1155937; its proper-divisor sum differs from the starting integer by -990,790.

Prime Factor Structure

Factorization String 7 × 165133
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,321,072
Proper Divisor Sum 165,141
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1155929 ← → #1155937

Radix Representation

Decimal 1155931
Binary 100011010001101011011 (21 bits)
Octal 0o4321533
Hexadecimal 0x11A35B

Divisor Catalog (4)

1 7 165,133 1,155,931

Collatz Trajectory (209 steps to reach 1)

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

1,155,931 3,467,794 1,733,897 5,201,692 2,600,846 1,300,423 3,901,270 1,950,635 5,851,906 2,925,953 8,777,860 4,388,930 2,194,465 6,583,396 3,291,698 1,645,849 4,937,548 2,468,774 1,234,387 3,703,162 1,851,581 5,554,744 2,777,372 1,388,686 694,343 2,083,030 1,041,515 3,124,546 1,562,273 4,686,820 2,343,410 1,171,705 3,515,116 1,757,558 878,779 2,636,338 1,318,169 3,954,508 1,977,254 988,627 2,965,882 1,482,941 4,448,824 2,224,412 1,112,206 556,103 1,668,310 834,155 2,502,466 1,251,233 3,753,700 1,876,850 938,425 2,815,276 1,407,638 703,819 2,111,458 1,055,729 3,167,188 1,583,594

More profiles

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