λ
Harmonic Matrix

3,632,197

557 × 6521
Deficient Odd Composite

3,632,197 has digital root 4. The neighboring primes are 3632191 and 3632201; its proper-divisor sum differs from the starting integer by -3,625,118.

Prime Factor Structure

Factorization String 557 × 6521
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,639,276
Proper Divisor Sum 7,079
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3632191 ← → #3632201

Radix Representation

Decimal 3632197
Binary 1101110110110001000101 (22 bits)
Octal 0o15666105
Hexadecimal 0x376C45

Divisor Catalog (4)

1 557 6,521 3,632,197

Collatz Trajectory (110 steps to reach 1)

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

3,632,197 10,896,592 5,448,296 2,724,148 1,362,074 681,037 2,043,112 1,021,556 510,778 255,389 766,168 383,084 191,542 95,771 287,314 143,657 430,972 215,486 107,743 323,230 161,615 484,846 242,423 727,270 363,635 1,090,906 545,453 1,636,360 818,180 409,090 204,545 613,636 306,818 153,409 460,228 230,114 115,057 345,172 172,586 86,293 258,880 129,440 64,720 32,360 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641

More profiles

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