λ
Harmonic Matrix

2,372,531

73 × 6917
Deficient Odd Composite

2,372,531 has digital root 5. The neighboring primes are 2372521 and 2372543; its proper-divisor sum differs from the starting integer by -1,977,862.

Prime Factor Structure

Factorization String 7^3 × 6917
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,767,200
Proper Divisor Sum 394,669
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2372521 ← → #2372543

Radix Representation

Decimal 2372531
Binary 1001000011001110110011 (22 bits)
Octal 0o11031663
Hexadecimal 0x2433B3

Divisor Catalog (8)

1 7 49 343 6,917 48,419 338,933 2,372,531

Collatz Trajectory (55 steps to reach 1)

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

2,372,531 7,117,594 3,558,797 10,676,392 5,338,196 2,669,098 1,334,549 4,003,648 2,001,824 1,000,912 500,456 250,228 125,114 62,557 187,672 93,836 46,918 23,459 70,378 35,189 105,568 52,784 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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