λ
Harmonic Matrix

5,024,347

47 × 53 × 2017
Deficient Odd Composite

5,024,347 has digital root 7. The neighboring primes are 5024329 and 5024359; its proper-divisor sum differs from the starting integer by -4,818,038.

Prime Factor Structure

Factorization String 47 × 53 × 2017
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,230,656
Proper Divisor Sum 206,309
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5024329 ← → #5024359

Radix Representation

Decimal 5024347
Binary 10011001010101001011011 (23 bits)
Octal 0o23125133
Hexadecimal 0x4CAA5B

Divisor Catalog (8)

1 47 53 2,017 2,491 94,799 106,901 5,024,347

Collatz Trajectory (188 steps to reach 1)

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

5,024,347 15,073,042 7,536,521 22,609,564 11,304,782 5,652,391 16,957,174 8,478,587 25,435,762 12,717,881 38,153,644 19,076,822 9,538,411 28,615,234 14,307,617 42,922,852 21,461,426 10,730,713 32,192,140 16,096,070 8,048,035 24,144,106 12,072,053 36,216,160 18,108,080 9,054,040 4,527,020 2,263,510 1,131,755 3,395,266 1,697,633 5,092,900 2,546,450 1,273,225 3,819,676 1,909,838 954,919 2,864,758 1,432,379 4,297,138 2,148,569 6,445,708 3,222,854 1,611,427 4,834,282 2,417,141 7,251,424 3,625,712 1,812,856 906,428 453,214 226,607 679,822 339,911 1,019,734 509,867 1,529,602 764,801 2,294,404 1,147,202

More profiles

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