λ
Harmonic Matrix

7,164,470

2 × 5 × 716447
Deficient Even Composite

7,164,470 has digital root 2. The neighboring primes are 7164433 and 7164491; its proper-divisor sum differs from the starting integer by -1,432,876.

Prime Factor Structure

Factorization String 2 × 5 × 716447
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,896,064
Proper Divisor Sum 5,731,594
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7164433 ← → #7164491

Radix Representation

Decimal 7164470
Binary 11011010101001000110110 (23 bits)
Octal 0o33251066
Hexadecimal 0x6D5236

Divisor Catalog (8)

1 2 5 10 716,447 1,432,894 3,582,235 7,164,470

Collatz Trajectory (204 steps to reach 1)

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

7,164,470 3,582,235 10,746,706 5,373,353 16,120,060 8,060,030 4,030,015 12,090,046 6,045,023 18,135,070 9,067,535 27,202,606 13,601,303 40,803,910 20,401,955 61,205,866 30,602,933 91,808,800 45,904,400 22,952,200 11,476,100 5,738,050 2,869,025 8,607,076 4,303,538 2,151,769 6,455,308 3,227,654 1,613,827 4,841,482 2,420,741 7,262,224 3,631,112 1,815,556 907,778 453,889 1,361,668 680,834 340,417 1,021,252 510,626 255,313 765,940 382,970 191,485 574,456 287,228 143,614 71,807 215,422 107,711 323,134 161,567 484,702 242,351 727,054 363,527 1,090,582 545,291 1,635,874

More profiles

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