λ
Harmonic Matrix

7,097,295

3 × 5 × 31 × 15263
Deficient Odd Composite

7,097,295 has digital root 3. The neighboring primes are 7097291 and 7097297; its proper-divisor sum differs from the starting integer by -2,471,838.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 15263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,722,752
Proper Divisor Sum 4,625,457
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7097291 ← → #7097297

Radix Representation

Decimal 7097295
Binary 11011000100101111001111 (23 bits)
Octal 0o33045717
Hexadecimal 0x6C4BCF

Divisor Catalog (16)

1 3 5 15 31 93 155 465 15,263 45,789 76,315 228,945 473,153 1,419,459 2,365,765 7,097,295

Collatz Trajectory (222 steps to reach 1)

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

7,097,295 21,291,886 10,645,943 31,937,830 15,968,915 47,906,746 23,953,373 71,860,120 35,930,060 17,965,030 8,982,515 26,947,546 13,473,773 40,421,320 20,210,660 10,105,330 5,052,665 15,157,996 7,578,998 3,789,499 11,368,498 5,684,249 17,052,748 8,526,374 4,263,187 12,789,562 6,394,781 19,184,344 9,592,172 4,796,086 2,398,043 7,194,130 3,597,065 10,791,196 5,395,598 2,697,799 8,093,398 4,046,699 12,140,098 6,070,049 18,210,148 9,105,074 4,552,537 13,657,612 6,828,806 3,414,403 10,243,210 5,121,605 15,364,816 7,682,408 3,841,204 1,920,602 960,301 2,880,904 1,440,452 720,226 360,113 1,080,340 540,170 270,085

More profiles

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