λ
Harmonic Matrix

1,525,642

2 × 762821
Deficient Even Composite

1,525,642 has digital root 7. The neighboring primes are 1525639 and 1525669; its proper-divisor sum differs from the starting integer by -762,818.

Prime Factor Structure

Factorization String 2 × 762821
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,288,466
Proper Divisor Sum 762,824
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1525639 ← → #1525669

Radix Representation

Decimal 1525642
Binary 101110100011110001010 (21 bits)
Octal 0o5643612
Hexadecimal 0x17478A

Divisor Catalog (4)

1 2 762,821 1,525,642

Collatz Trajectory (132 steps to reach 1)

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

1,525,642 762,821 2,288,464 1,144,232 572,116 286,058 143,029 429,088 214,544 107,272 53,636 26,818 13,409 40,228 20,114 10,057 30,172 15,086 7,543 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615

More profiles

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