λ
Harmonic Matrix

7,474,931

23 × 324997
Deficient Odd Composite

7,474,931 has digital root 8. The neighboring primes are 7474903 and 7474933; its proper-divisor sum differs from the starting integer by -7,149,910.

Prime Factor Structure

Factorization String 23 × 324997
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,799,952
Proper Divisor Sum 325,021
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7474903 ← → #7474933

Radix Representation

Decimal 7474931
Binary 11100100000111011110011 (23 bits)
Octal 0o34407363
Hexadecimal 0x720EF3

Divisor Catalog (4)

1 23 324,997 7,474,931

Collatz Trajectory (111 steps to reach 1)

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

7,474,931 22,424,794 11,212,397 33,637,192 16,818,596 8,409,298 4,204,649 12,613,948 6,306,974 3,153,487 9,460,462 4,730,231 14,190,694 7,095,347 21,286,042 10,643,021 31,929,064 15,964,532 7,982,266 3,991,133 11,973,400 5,986,700 2,993,350 1,496,675 4,490,026 2,245,013 6,735,040 3,367,520 1,683,760 841,880 420,940 210,470 105,235 315,706 157,853 473,560 236,780 118,390 59,195 177,586 88,793 266,380 133,190 66,595 199,786 99,893 299,680 149,840 74,920 37,460 18,730 9,365 28,096 14,048 7,024 3,512 1,756 878 439 1,318

More profiles

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