λ
Harmonic Matrix

5,980,772

22 × 7 × 213599
Abundant Even Composite

5,980,772 has digital root 2. The neighboring primes are 5980747 and 5980781; its proper-divisor sum differs from the starting integer by 56.

Prime Factor Structure

Factorization String 2^2 × 7 × 213599
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,961,600
Proper Divisor Sum 5,980,828
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5980747 ← → #5980781

Radix Representation

Decimal 5980772
Binary 10110110100001001100100 (23 bits)
Octal 0o26641144
Hexadecimal 0x5B4264

Divisor Catalog (12)

1 2 4 7 14 28 213,599 427,198 854,396 1,495,193 2,990,386 5,980,772

Collatz Trajectory (214 steps to reach 1)

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

5,980,772 2,990,386 1,495,193 4,485,580 2,242,790 1,121,395 3,364,186 1,682,093 5,046,280 2,523,140 1,261,570 630,785 1,892,356 946,178 473,089 1,419,268 709,634 354,817 1,064,452 532,226 266,113 798,340 399,170 199,585 598,756 299,378 149,689 449,068 224,534 112,267 336,802 168,401 505,204 252,602 126,301 378,904 189,452 94,726 47,363 142,090 71,045 213,136 106,568 53,284 26,642 13,321 39,964 19,982 9,991 29,974 14,987 44,962 22,481 67,444 33,722 16,861 50,584 25,292 12,646 6,323

More profiles

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