λ
Harmonic Matrix

7,290,849

3 × 179 × 13577
Deficient Odd Composite

7,290,849 has digital root 3. The neighboring primes are 7290821 and 7290853; its proper-divisor sum differs from the starting integer by -4,805,538.

Prime Factor Structure

Factorization String 3 × 179 × 13577
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,776,160
Proper Divisor Sum 2,485,311
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7290821 ← → #7290853

Radix Representation

Decimal 7290849
Binary 11011110011111111100001 (23 bits)
Octal 0o33637741
Hexadecimal 0x6F3FE1

Divisor Catalog (8)

1 3 179 537 13,577 40,731 2,430,283 7,290,849

Collatz Trajectory (129 steps to reach 1)

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

7,290,849 21,872,548 10,936,274 5,468,137 16,404,412 8,202,206 4,101,103 12,303,310 6,151,655 18,454,966 9,227,483 27,682,450 13,841,225 41,523,676 20,761,838 10,380,919 31,142,758 15,571,379 46,714,138 23,357,069 70,071,208 35,035,604 17,517,802 8,758,901 26,276,704 13,138,352 6,569,176 3,284,588 1,642,294 821,147 2,463,442 1,231,721 3,695,164 1,847,582 923,791 2,771,374 1,385,687 4,157,062 2,078,531 6,235,594 3,117,797 9,353,392 4,676,696 2,338,348 1,169,174 584,587 1,753,762 876,881 2,630,644 1,315,322 657,661 1,972,984 986,492 493,246 246,623 739,870 369,935 1,109,806 554,903 1,664,710

More profiles

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