λ
Harmonic Matrix

9,413,962

2 × 661 × 7121
Deficient Even Composite

9,413,962 has digital root 7. The neighboring primes are 9413939 and 9413983; its proper-divisor sum differs from the starting integer by -4,683,632.

Prime Factor Structure

Factorization String 2 × 661 × 7121
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,144,292
Proper Divisor Sum 4,730,330
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9413939 ← → #9413983

Radix Representation

Decimal 9413962
Binary 100011111010010101001010 (24 bits)
Octal 0o43722512
Hexadecimal 0x8FA54A

Divisor Catalog (8)

1 2 661 1,322 7,121 14,242 4,706,981 9,413,962

Collatz Trajectory (207 steps to reach 1)

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

9,413,962 4,706,981 14,120,944 7,060,472 3,530,236 1,765,118 882,559 2,647,678 1,323,839 3,971,518 1,985,759 5,957,278 2,978,639 8,935,918 4,467,959 13,403,878 6,701,939 20,105,818 10,052,909 30,158,728 15,079,364 7,539,682 3,769,841 11,309,524 5,654,762 2,827,381 8,482,144 4,241,072 2,120,536 1,060,268 530,134 265,067 795,202 397,601 1,192,804 596,402 298,201 894,604 447,302 223,651 670,954 335,477 1,006,432 503,216 251,608 125,804 62,902 31,451 94,354 47,177 141,532 70,766 35,383 106,150 53,075 159,226 79,613 238,840 119,420 59,710

More profiles

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