λ
Harmonic Matrix

5,601,974

2 × 72 × 57163
Deficient Even Composite

5,601,974 has digital root 5. The neighboring primes are 5601943 and 5602001; its proper-divisor sum differs from the starting integer by -1,428,904.

Prime Factor Structure

Factorization String 2 × 7^2 × 57163
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,775,044
Proper Divisor Sum 4,173,070
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5601943 ← → #5602001

Radix Representation

Decimal 5601974
Binary 10101010111101010110110 (23 bits)
Octal 0o25275266
Hexadecimal 0x557AB6

Divisor Catalog (12)

1 2 7 14 49 98 57,163 114,326 400,141 800,282 2,800,987 5,601,974

Collatz Trajectory (170 steps to reach 1)

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

5,601,974 2,800,987 8,402,962 4,201,481 12,604,444 6,302,222 3,151,111 9,453,334 4,726,667 14,180,002 7,090,001 21,270,004 10,635,002 5,317,501 15,952,504 7,976,252 3,988,126 1,994,063 5,982,190 2,991,095 8,973,286 4,486,643 13,459,930 6,729,965 20,189,896 10,094,948 5,047,474 2,523,737 7,571,212 3,785,606 1,892,803 5,678,410 2,839,205 8,517,616 4,258,808 2,129,404 1,064,702 532,351 1,597,054 798,527 2,395,582 1,197,791 3,593,374 1,796,687 5,390,062 2,695,031 8,085,094 4,042,547 12,127,642 6,063,821 18,191,464 9,095,732 4,547,866 2,273,933 6,821,800 3,410,900 1,705,450 852,725 2,558,176 1,279,088

More profiles

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