λ
Harmonic Matrix

3,745,531

3745531
Deficient Odd Prime

3,745,531 has digital root 1. The neighboring primes are 3745529 and 3745537; its proper-divisor sum differs from the starting integer by -3,745,530.

Prime Factor Structure

Factorization String 3745531
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,745,532
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3745529 ← → #3745537

Radix Representation

Decimal 3745531
Binary 1110010010011011111011 (22 bits)
Octal 0o16223373
Hexadecimal 0x3926FB

Divisor Catalog (2)

Collatz Trajectory (172 steps to reach 1)

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

3,745,531 11,236,594 5,618,297 16,854,892 8,427,446 4,213,723 12,641,170 6,320,585 18,961,756 9,480,878 4,740,439 14,221,318 7,110,659 21,331,978 10,665,989 31,997,968 15,998,984 7,999,492 3,999,746 1,999,873 5,999,620 2,999,810 1,499,905 4,499,716 2,249,858 1,124,929 3,374,788 1,687,394 843,697 2,531,092 1,265,546 632,773 1,898,320 949,160 474,580 237,290 118,645 355,936 177,968 88,984 44,492 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110

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