λ
Harmonic Matrix

3,480,619

3480619
Deficient Odd Prime

3,480,619 has digital root 4. The neighboring primes are 3480611 and 3480623; its proper-divisor sum differs from the starting integer by -3,480,618.

Prime Factor Structure

Factorization String 3480619
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,480,620
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3480611 ← → #3480623

Radix Representation

Decimal 3480619
Binary 1101010001110000101011 (22 bits)
Octal 0o15216053
Hexadecimal 0x351C2B

Divisor Catalog (2)

1 3,480,619

Collatz Trajectory (97 steps to reach 1)

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

3,480,619 10,441,858 5,220,929 15,662,788 7,831,394 3,915,697 11,747,092 5,873,546 2,936,773 8,810,320 4,405,160 2,202,580 1,101,290 550,645 1,651,936 825,968 412,984 206,492 103,246 51,623 154,870 77,435 232,306 116,153 348,460 174,230 87,115 261,346 130,673 392,020 196,010 98,005 294,016 147,008 73,504 36,752 18,376 9,188 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614

More profiles

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