λ
Harmonic Matrix

4,240,557

32 × 471173
Deficient Odd Composite

4,240,557 has digital root 9. The neighboring primes are 4240547 and 4240559; its proper-divisor sum differs from the starting integer by -2,355,852.

Prime Factor Structure

Factorization String 3^2 × 471173
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 6,125,262
Proper Divisor Sum 1,884,705
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4240547 ← → #4240559

Radix Representation

Decimal 4240557
Binary 10000001011010010101101 (23 bits)
Octal 0o20132255
Hexadecimal 0x40B4AD

Divisor Catalog (6)

1 3 9 471,173 1,413,519 4,240,557

Collatz Trajectory (105 steps to reach 1)

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

4,240,557 12,721,672 6,360,836 3,180,418 1,590,209 4,770,628 2,385,314 1,192,657 3,577,972 1,788,986 894,493 2,683,480 1,341,740 670,870 335,435 1,006,306 503,153 1,509,460 754,730 377,365 1,132,096 566,048 283,024 141,512 70,756 35,378 17,689 53,068 26,534 13,267 39,802 19,901 59,704 29,852 14,926 7,463 22,390 11,195 33,586 16,793 50,380 25,190 12,595 37,786 18,893 56,680 28,340 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486

More profiles

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