λ
Harmonic Matrix

3,738,032

24 × 307 × 761
Deficient Even Composite

3,738,032 has digital root 8. The neighboring primes are 3738023 and 3738047; its proper-divisor sum differs from the starting integer by -200,488.

Prime Factor Structure

Factorization String 2^4 × 307 × 761
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,275,576
Proper Divisor Sum 3,537,544
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3738023 ← → #3738047

Radix Representation

Decimal 3738032
Binary 1110010000100110110000 (22 bits)
Octal 0o16204660
Hexadecimal 0x3909B0

Divisor Catalog (20)

1 2 4 8 16 307 614 761 1,228 1,522 2,456 3,044 4,912 6,088 12,176 233,627 467,254 934,508 1,869,016 3,738,032

Collatz Trajectory (172 steps to reach 1)

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

3,738,032 1,869,016 934,508 467,254 233,627 700,882 350,441 1,051,324 525,662 262,831 788,494 394,247 1,182,742 591,371 1,774,114 887,057 2,661,172 1,330,586 665,293 1,995,880 997,940 498,970 249,485 748,456 374,228 187,114 93,557 280,672 140,336 70,168 35,084 17,542 8,771 26,314 13,157 39,472 19,736 9,868 4,934 2,467 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661

More profiles

← Previous Integer #3,738,031 Browse Full Index Next Integer #3,738,033 →