λ
Harmonic Matrix

2,572,423

7 × 17 × 21617
Deficient Odd Composite

2,572,423 has digital root 7. The neighboring primes are 2572421 and 2572433; its proper-divisor sum differs from the starting integer by -2,031,854.

Prime Factor Structure

Factorization String 7 × 17 × 21617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,112,992
Proper Divisor Sum 540,569
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2572421 ← → #2572433

Radix Representation

Decimal 2572423
Binary 1001110100000010000111 (22 bits)
Octal 0o11640207
Hexadecimal 0x274087

Divisor Catalog (8)

1 7 17 119 21,617 151,319 367,489 2,572,423

Collatz Trajectory (174 steps to reach 1)

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

2,572,423 7,717,270 3,858,635 11,575,906 5,787,953 17,363,860 8,681,930 4,340,965 13,022,896 6,511,448 3,255,724 1,627,862 813,931 2,441,794 1,220,897 3,662,692 1,831,346 915,673 2,747,020 1,373,510 686,755 2,060,266 1,030,133 3,090,400 1,545,200 772,600 386,300 193,150 96,575 289,726 144,863 434,590 217,295 651,886 325,943 977,830 488,915 1,466,746 733,373 2,200,120 1,100,060 550,030 275,015 825,046 412,523 1,237,570 618,785 1,856,356 928,178 464,089 1,392,268 696,134 348,067 1,044,202 522,101 1,566,304 783,152 391,576 195,788 97,894

More profiles

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