λ
Harmonic Matrix

7,475,377

7 × 132 × 71 × 89
Deficient Odd Composite

7,475,377 has digital root 4. The neighboring primes are 7475357 and 7475381; its proper-divisor sum differs from the starting integer by -5,464,034.

Prime Factor Structure

Factorization String 7 × 13^2 × 71 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,486,720
Proper Divisor Sum 2,011,343
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7475357 ← → #7475381

Radix Representation

Decimal 7475377
Binary 11100100001000010110001 (23 bits)
Octal 0o34410261
Hexadecimal 0x7210B1

Divisor Catalog (24)

1 7 13 71 89 91 169 497 623 923 1,157 1,183 6,319 6,461 8,099 11,999 15,041 44,233 82,147 83,993 105,287 575,029 1,067,911 7,475,377

Collatz Trajectory (186 steps to reach 1)

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

7,475,377 22,426,132 11,213,066 5,606,533 16,819,600 8,409,800 4,204,900 2,102,450 1,051,225 3,153,676 1,576,838 788,419 2,365,258 1,182,629 3,547,888 1,773,944 886,972 443,486 221,743 665,230 332,615 997,846 498,923 1,496,770 748,385 2,245,156 1,122,578 561,289 1,683,868 841,934 420,967 1,262,902 631,451 1,894,354 947,177 2,841,532 1,420,766 710,383 2,131,150 1,065,575 3,196,726 1,598,363 4,795,090 2,397,545 7,192,636 3,596,318 1,798,159 5,394,478 2,697,239 8,091,718 4,045,859 12,137,578 6,068,789 18,206,368 9,103,184 4,551,592 2,275,796 1,137,898 568,949 1,706,848

More profiles

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