λ
Harmonic Matrix

7,164,493

7 × 1023499
Deficient Odd Composite

7,164,493 has digital root 7. The neighboring primes are 7164491 and 7164499; its proper-divisor sum differs from the starting integer by -6,140,986.

Prime Factor Structure

Factorization String 7 × 1023499
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,188,000
Proper Divisor Sum 1,023,507
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7164491 ← → #7164499

Radix Representation

Decimal 7164493
Binary 11011010101001001001101 (23 bits)
Octal 0o33251115
Hexadecimal 0x6D524D

Divisor Catalog (4)

1 7 1,023,499 7,164,493

Collatz Trajectory (204 steps to reach 1)

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

7,164,493 21,493,480 10,746,740 5,373,370 2,686,685 8,060,056 4,030,028 2,015,014 1,007,507 3,022,522 1,511,261 4,533,784 2,266,892 1,133,446 566,723 1,700,170 850,085 2,550,256 1,275,128 637,564 318,782 159,391 478,174 239,087 717,262 358,631 1,075,894 537,947 1,613,842 806,921 2,420,764 1,210,382 605,191 1,815,574 907,787 2,723,362 1,361,681 4,085,044 2,042,522 1,021,261 3,063,784 1,531,892 765,946 382,973 1,148,920 574,460 287,230 143,615 430,846 215,423 646,270 323,135 969,406 484,703 1,454,110 727,055 2,181,166 1,090,583 3,271,750 1,635,875

More profiles

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