λ
Harmonic Matrix

3,720,436

22 × 101 × 9209
Deficient Even Composite

3,720,436 has digital root 7. The neighboring primes are 3720427 and 3720469; its proper-divisor sum differs from the starting integer by -864,932.

Prime Factor Structure

Factorization String 2^2 × 101 × 9209
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,575,940
Proper Divisor Sum 2,855,504
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3720427 ← → #3720469

Radix Representation

Decimal 3720436
Binary 1110001100010011110100 (22 bits)
Octal 0o16142364
Hexadecimal 0x38C4F4

Divisor Catalog (12)

1 2 4 101 202 404 9,209 18,418 36,836 930,109 1,860,218 3,720,436

Collatz Trajectory (128 steps to reach 1)

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

3,720,436 1,860,218 930,109 2,790,328 1,395,164 697,582 348,791 1,046,374 523,187 1,569,562 784,781 2,354,344 1,177,172 588,586 294,293 882,880 441,440 220,720 110,360 55,180 27,590 13,795 41,386 20,693 62,080 31,040 15,520 7,760 3,880 1,940 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668

More profiles

← Previous Integer #3,720,435 Browse Full Index Next Integer #3,720,437 →