λ
Harmonic Matrix

5,562,349

13 × 17 × 25169
Deficient Odd Composite

5,562,349 has digital root 7. The neighboring primes are 5562341 and 5562397; its proper-divisor sum differs from the starting integer by -4,781,858.

Prime Factor Structure

Factorization String 13 × 17 × 25169
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,342,840
Proper Divisor Sum 780,491
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5562341 ← → #5562397

Radix Representation

Decimal 5562349
Binary 10101001101111111101101 (23 bits)
Octal 0o25157755
Hexadecimal 0x54DFED

Divisor Catalog (8)

1 13 17 221 25,169 327,197 427,873 5,562,349

Collatz Trajectory (214 steps to reach 1)

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

5,562,349 16,687,048 8,343,524 4,171,762 2,085,881 6,257,644 3,128,822 1,564,411 4,693,234 2,346,617 7,039,852 3,519,926 1,759,963 5,279,890 2,639,945 7,919,836 3,959,918 1,979,959 5,939,878 2,969,939 8,909,818 4,454,909 13,364,728 6,682,364 3,341,182 1,670,591 5,011,774 2,505,887 7,517,662 3,758,831 11,276,494 5,638,247 16,914,742 8,457,371 25,372,114 12,686,057 38,058,172 19,029,086 9,514,543 28,543,630 14,271,815 42,815,446 21,407,723 64,223,170 32,111,585 96,334,756 48,167,378 24,083,689 72,251,068 36,125,534 18,062,767 54,188,302 27,094,151 81,282,454 40,641,227 121,923,682 60,961,841 182,885,524 91,442,762 45,721,381

More profiles

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