λ
Harmonic Matrix

5,642,372

22 × 31 × 45503
Deficient Even Composite

5,642,372 has digital root 2. The neighboring primes are 5642369 and 5642381; its proper-divisor sum differs from the starting integer by -1,091,848.

Prime Factor Structure

Factorization String 2^2 × 31 × 45503
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,192,896
Proper Divisor Sum 4,550,524
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5642369 ← → #5642381

Radix Representation

Decimal 5642372
Binary 10101100001100010000100 (23 bits)
Octal 0o25414204
Hexadecimal 0x561884

Divisor Catalog (12)

1 2 4 31 62 124 45,503 91,006 182,012 1,410,593 2,821,186 5,642,372

Collatz Trajectory (77 steps to reach 1)

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

5,642,372 2,821,186 1,410,593 4,231,780 2,115,890 1,057,945 3,173,836 1,586,918 793,459 2,380,378 1,190,189 3,570,568 1,785,284 892,642 446,321 1,338,964 669,482 334,741 1,004,224 502,112 251,056 125,528 62,764 31,382 15,691 47,074 23,537 70,612 35,306 17,653 52,960 26,480 13,240 6,620 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28

More profiles

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