λ
Harmonic Matrix

5,492,347

7 × 43 × 71 × 257
Deficient Odd Composite

5,492,347 has digital root 7. The neighboring primes are 5492299 and 5492351; its proper-divisor sum differs from the starting integer by -4,445,942.

Prime Factor Structure

Factorization String 7 × 43 × 71 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,538,752
Proper Divisor Sum 1,046,405
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5492299 ← → #5492351

Radix Representation

Decimal 5492347
Binary 10100111100111001111011 (23 bits)
Octal 0o24747173
Hexadecimal 0x53CE7B

Divisor Catalog (16)

1 7 43 71 257 301 497 1,799 3,053 11,051 18,247 21,371 77,357 127,729 784,621 5,492,347

Collatz Trajectory (64 steps to reach 1)

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

5,492,347 16,477,042 8,238,521 24,715,564 12,357,782 6,178,891 18,536,674 9,268,337 27,805,012 13,902,506 6,951,253 20,853,760 10,426,880 5,213,440 2,606,720 1,303,360 651,680 325,840 162,920 81,460 40,730 20,365 61,096 30,548 15,274 7,637 22,912 11,456 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5

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