λ
Harmonic Matrix

7,487,071

401 × 18671
Deficient Odd Composite

7,487,071 has digital root 7. The neighboring primes are 7487069 and 7487087; its proper-divisor sum differs from the starting integer by -7,467,998.

Prime Factor Structure

Factorization String 401 × 18671
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,506,144
Proper Divisor Sum 19,073
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7487069 ← → #7487087

Radix Representation

Decimal 7487071
Binary 11100100011111001011111 (23 bits)
Octal 0o34437137
Hexadecimal 0x723E5F

Divisor Catalog (4)

1 401 18,671 7,487,071

Collatz Trajectory (111 steps to reach 1)

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

7,487,071 22,461,214 11,230,607 33,691,822 16,845,911 50,537,734 25,268,867 75,806,602 37,903,301 113,709,904 56,854,952 28,427,476 14,213,738 7,106,869 21,320,608 10,660,304 5,330,152 2,665,076 1,332,538 666,269 1,998,808 999,404 499,702 249,851 749,554 374,777 1,124,332 562,166 281,083 843,250 421,625 1,264,876 632,438 316,219 948,658 474,329 1,422,988 711,494 355,747 1,067,242 533,621 1,600,864 800,432 400,216 200,108 100,054 50,027 150,082 75,041 225,124 112,562 56,281 168,844 84,422 42,211 126,634 63,317 189,952 94,976 47,488

More profiles

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