λ
Harmonic Matrix

7,311,695

5 × 1462339
Deficient Odd Composite

7,311,695 has digital root 5. The neighboring primes are 7311679 and 7311701; its proper-divisor sum differs from the starting integer by -5,849,350.

Prime Factor Structure

Factorization String 5 × 1462339
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,774,040
Proper Divisor Sum 1,462,345
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7311679 ← → #7311701

Radix Representation

Decimal 7311695
Binary 11011111001000101001111 (23 bits)
Octal 0o33710517
Hexadecimal 0x6F914F

Divisor Catalog (4)

1 5 1,462,339 7,311,695

Collatz Trajectory (248 steps to reach 1)

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

7,311,695 21,935,086 10,967,543 32,902,630 16,451,315 49,353,946 24,676,973 74,030,920 37,015,460 18,507,730 9,253,865 27,761,596 13,880,798 6,940,399 20,821,198 10,410,599 31,231,798 15,615,899 46,847,698 23,423,849 70,271,548 35,135,774 17,567,887 52,703,662 26,351,831 79,055,494 39,527,747 118,583,242 59,291,621 177,874,864 88,937,432 44,468,716 22,234,358 11,117,179 33,351,538 16,675,769 50,027,308 25,013,654 12,506,827 37,520,482 18,760,241 56,280,724 28,140,362 14,070,181 42,210,544 21,105,272 10,552,636 5,276,318 2,638,159 7,914,478 3,957,239 11,871,718 5,935,859 17,807,578 8,903,789 26,711,368 13,355,684 6,677,842 3,338,921 10,016,764

More profiles

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