λ
Harmonic Matrix

7,171,628

22 × 499 × 3593
Deficient Even Composite

7,171,628 has digital root 5. The neighboring primes are 7171621 and 7171651; its proper-divisor sum differs from the starting integer by -1,764,256.

Prime Factor Structure

Factorization String 2^2 × 499 × 3593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,579,000
Proper Divisor Sum 5,407,372
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7171621 ← → #7171651

Radix Representation

Decimal 7171628
Binary 11011010110111000101100 (23 bits)
Octal 0o33267054
Hexadecimal 0x6D6E2C

Divisor Catalog (12)

1 2 4 499 998 1,996 3,593 7,186 14,372 1,792,907 3,585,814 7,171,628

Collatz Trajectory (235 steps to reach 1)

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

7,171,628 3,585,814 1,792,907 5,378,722 2,689,361 8,068,084 4,034,042 2,017,021 6,051,064 3,025,532 1,512,766 756,383 2,269,150 1,134,575 3,403,726 1,701,863 5,105,590 2,552,795 7,658,386 3,829,193 11,487,580 5,743,790 2,871,895 8,615,686 4,307,843 12,923,530 6,461,765 19,385,296 9,692,648 4,846,324 2,423,162 1,211,581 3,634,744 1,817,372 908,686 454,343 1,363,030 681,515 2,044,546 1,022,273 3,066,820 1,533,410 766,705 2,300,116 1,150,058 575,029 1,725,088 862,544 431,272 215,636 107,818 53,909 161,728 80,864 40,432 20,216 10,108 5,054 2,527 7,582

More profiles

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