λ
Harmonic Matrix

1,152,578

2 × 72 × 19 × 619
Deficient Even Composite

1,152,578 has digital root 2. The neighboring primes are 1152527 and 1152589; its proper-divisor sum differs from the starting integer by -184,756.

Prime Factor Structure

Factorization String 2 × 7^2 × 19 × 619
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,120,400
Proper Divisor Sum 967,822
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1152527 ← → #1152589

Radix Representation

Decimal 1152578
Binary 100011001011001000010 (21 bits)
Octal 0o4313102
Hexadecimal 0x119642

Divisor Catalog (24)

1 2 7 14 19 38 49 98 133 266 619 931 1,238 1,862 4,333 8,666 11,761 23,522 30,331 60,662 82,327 164,654 576,289 1,152,578

Collatz Trajectory (85 steps to reach 1)

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

1,152,578 576,289 1,728,868 864,434 432,217 1,296,652 648,326 324,163 972,490 486,245 1,458,736 729,368 364,684 182,342 91,171 273,514 136,757 410,272 205,136 102,568 51,284 25,642 12,821 38,464 19,232 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205

More profiles

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