λ
Harmonic Matrix

3,632,719

3632719
Deficient Odd Prime

3,632,719 has digital root 4. The neighboring primes are 3632701 and 3632729; its proper-divisor sum differs from the starting integer by -3,632,718.

Prime Factor Structure

Factorization String 3632719
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,632,720
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3632701 ← → #3632729

Radix Representation

Decimal 3632719
Binary 1101110110111001001111 (22 bits)
Octal 0o15667117
Hexadecimal 0x376E4F

Divisor Catalog (2)

Collatz Trajectory (309 steps to reach 1)

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

3,632,719 10,898,158 5,449,079 16,347,238 8,173,619 24,520,858 12,260,429 36,781,288 18,390,644 9,195,322 4,597,661 13,792,984 6,896,492 3,448,246 1,724,123 5,172,370 2,586,185 7,758,556 3,879,278 1,939,639 5,818,918 2,909,459 8,728,378 4,364,189 13,092,568 6,546,284 3,273,142 1,636,571 4,909,714 2,454,857 7,364,572 3,682,286 1,841,143 5,523,430 2,761,715 8,285,146 4,142,573 12,427,720 6,213,860 3,106,930 1,553,465 4,660,396 2,330,198 1,165,099 3,495,298 1,747,649 5,242,948 2,621,474 1,310,737 3,932,212 1,966,106 983,053 2,949,160 1,474,580 737,290 368,645 1,105,936 552,968 276,484 138,242

More profiles

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