λ
Harmonic Matrix

7,028,761

7028761
Deficient Odd Prime

7,028,761 has digital root 4. The neighboring primes are 7028741 and 7028767; its proper-divisor sum differs from the starting integer by -7,028,760.

Prime Factor Structure

Factorization String 7028761
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,028,762
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7028741 ← → #7028767

Radix Representation

Decimal 7028761
Binary 11010110100000000011001 (23 bits)
Octal 0o32640031
Hexadecimal 0x6B4019

Divisor Catalog (2)

Collatz Trajectory (152 steps to reach 1)

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

7,028,761 21,086,284 10,543,142 5,271,571 15,814,714 7,907,357 23,722,072 11,861,036 5,930,518 2,965,259 8,895,778 4,447,889 13,343,668 6,671,834 3,335,917 10,007,752 5,003,876 2,501,938 1,250,969 3,752,908 1,876,454 938,227 2,814,682 1,407,341 4,222,024 2,111,012 1,055,506 527,753 1,583,260 791,630 395,815 1,187,446 593,723 1,781,170 890,585 2,671,756 1,335,878 667,939 2,003,818 1,001,909 3,005,728 1,502,864 751,432 375,716 187,858 93,929 281,788 140,894 70,447 211,342 105,671 317,014 158,507 475,522 237,761 713,284 356,642 178,321 534,964 267,482

More profiles

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