λ
Harmonic Matrix

7,538,367

3 × 2512789
Deficient Odd Composite

7,538,367 has digital root 3. The neighboring primes are 7538359 and 7538423; its proper-divisor sum differs from the starting integer by -5,025,574.

Prime Factor Structure

Factorization String 3 × 2512789
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,051,160
Proper Divisor Sum 2,512,793
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7538359 ← → #7538423

Radix Representation

Decimal 7538367
Binary 11100110000011010111111 (23 bits)
Octal 0o34603277
Hexadecimal 0x7306BF

Divisor Catalog (4)

1 3 2,512,789 7,538,367

Collatz Trajectory (173 steps to reach 1)

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

7,538,367 22,615,102 11,307,551 33,922,654 16,961,327 50,883,982 25,441,991 76,325,974 38,162,987 114,488,962 57,244,481 171,733,444 85,866,722 42,933,361 128,800,084 64,400,042 32,200,021 96,600,064 48,300,032 24,150,016 12,075,008 6,037,504 3,018,752 1,509,376 754,688 377,344 188,672 94,336 47,168 23,584 11,792 5,896 2,948 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333

More profiles

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