λ
Harmonic Matrix

7,184,143

41 × 137 × 1279
Deficient Odd Composite

7,184,143 has digital root 1. The neighboring primes are 7184137 and 7184159; its proper-divisor sum differs from the starting integer by -6,949,406.

Prime Factor Structure

Factorization String 41 × 137 × 1279
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,418,880
Proper Divisor Sum 234,737
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7184137 ← → #7184159

Radix Representation

Decimal 7184143
Binary 11011011001111100001111 (23 bits)
Octal 0o33317417
Hexadecimal 0x6D9F0F

Divisor Catalog (8)

1 41 137 1,279 5,617 52,439 175,223 7,184,143

Collatz Trajectory (191 steps to reach 1)

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

7,184,143 21,552,430 10,776,215 32,328,646 16,164,323 48,492,970 24,246,485 72,739,456 36,369,728 18,184,864 9,092,432 4,546,216 2,273,108 1,136,554 568,277 1,704,832 852,416 426,208 213,104 106,552 53,276 26,638 13,319 39,958 19,979 59,938 29,969 89,908 44,954 22,477 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612

More profiles

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