λ
Harmonic Matrix

7,476,181

1291 × 5791
Deficient Odd Composite

7,476,181 has digital root 7. The neighboring primes are 7476167 and 7476211; its proper-divisor sum differs from the starting integer by -7,469,098.

Prime Factor Structure

Factorization String 1291 × 5791
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,483,264
Proper Divisor Sum 7,083
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7476167 ← → #7476211

Radix Representation

Decimal 7476181
Binary 11100100001001111010101 (23 bits)
Octal 0o34411725
Hexadecimal 0x7213D5

Divisor Catalog (4)

1 1,291 5,791 7,476,181

Collatz Trajectory (111 steps to reach 1)

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

7,476,181 22,428,544 11,214,272 5,607,136 2,803,568 1,401,784 700,892 350,446 175,223 525,670 262,835 788,506 394,253 1,182,760 591,380 295,690 147,845 443,536 221,768 110,884 55,442 27,721 83,164 41,582 20,791 62,374 31,187 93,562 46,781 140,344 70,172 35,086 17,543 52,630 26,315 78,946 39,473 118,420 59,210 29,605 88,816 44,408 22,204 11,102 5,551 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906

More profiles

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