λ
Harmonic Matrix

7,390,015

5 × 23 × 179 × 359
Deficient Odd Composite

7,390,015 has digital root 7. The neighboring primes are 7390013 and 7390021; its proper-divisor sum differs from the starting integer by -5,448,830.

Prime Factor Structure

Factorization String 5 × 23 × 179 × 359
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,331,200
Proper Divisor Sum 1,941,185
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7390013 ← → #7390021

Radix Representation

Decimal 7390015
Binary 11100001100001100111111 (23 bits)
Octal 0o34141477
Hexadecimal 0x70C33F

Divisor Catalog (16)

1 5 23 115 179 359 895 1,795 4,117 8,257 20,585 41,285 64,261 321,305 1,478,003 7,390,015

Collatz Trajectory (165 steps to reach 1)

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

7,390,015 22,170,046 11,085,023 33,255,070 16,627,535 49,882,606 24,941,303 74,823,910 37,411,955 112,235,866 56,117,933 168,353,800 84,176,900 42,088,450 21,044,225 63,132,676 31,566,338 15,783,169 47,349,508 23,674,754 11,837,377 35,512,132 17,756,066 8,878,033 26,634,100 13,317,050 6,658,525 19,975,576 9,987,788 4,993,894 2,496,947 7,490,842 3,745,421 11,236,264 5,618,132 2,809,066 1,404,533 4,213,600 2,106,800 1,053,400 526,700 263,350 131,675 395,026 197,513 592,540 296,270 148,135 444,406 222,203 666,610 333,305 999,916 499,958 249,979 749,938 374,969 1,124,908 562,454 281,227

More profiles

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