λ
Harmonic Matrix

7,136,295

3 × 5 × 475753
Deficient Odd Composite

7,136,295 has digital root 6. The neighboring primes are 7136249 and 7136309; its proper-divisor sum differs from the starting integer by -2,854,494.

Prime Factor Structure

Factorization String 3 × 5 × 475753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,418,096
Proper Divisor Sum 4,281,801
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7136249 ← → #7136309

Radix Representation

Decimal 7136295
Binary 11011001110010000100111 (23 bits)
Octal 0o33162047
Hexadecimal 0x6CE427

Divisor Catalog (8)

1 3 5 15 475,753 1,427,259 2,378,765 7,136,295

Collatz Trajectory (98 steps to reach 1)

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

7,136,295 21,408,886 10,704,443 32,113,330 16,056,665 48,169,996 24,084,998 12,042,499 36,127,498 18,063,749 54,191,248 27,095,624 13,547,812 6,773,906 3,386,953 10,160,860 5,080,430 2,540,215 7,620,646 3,810,323 11,430,970 5,715,485 17,146,456 8,573,228 4,286,614 2,143,307 6,429,922 3,214,961 9,644,884 4,822,442 2,411,221 7,233,664 3,616,832 1,808,416 904,208 452,104 226,052 113,026 56,513 169,540 84,770 42,385 127,156 63,578 31,789 95,368 47,684 23,842 11,921 35,764 17,882 8,941 26,824 13,412 6,706 3,353 10,060 5,030 2,515 7,546

More profiles

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