λ
Harmonic Matrix

7,137,149

7137149
Deficient Odd Prime

7,137,149 has digital root 5. The neighboring primes are 7137131 and 7137167; its proper-divisor sum differs from the starting integer by -7,137,148.

Prime Factor Structure

Factorization String 7137149
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,137,150
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7137131 ← → #7137167

Radix Representation

Decimal 7137149
Binary 11011001110011101111101 (23 bits)
Octal 0o33163575
Hexadecimal 0x6CE77D

Divisor Catalog (2)

Collatz Trajectory (147 steps to reach 1)

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

7,137,149 21,411,448 10,705,724 5,352,862 2,676,431 8,029,294 4,014,647 12,043,942 6,021,971 18,065,914 9,032,957 27,098,872 13,549,436 6,774,718 3,387,359 10,162,078 5,081,039 15,243,118 7,621,559 22,864,678 11,432,339 34,297,018 17,148,509 51,445,528 25,722,764 12,861,382 6,430,691 19,292,074 9,646,037 28,938,112 14,469,056 7,234,528 3,617,264 1,808,632 904,316 452,158 226,079 678,238 339,119 1,017,358 508,679 1,526,038 763,019 2,289,058 1,144,529 3,433,588 1,716,794 858,397 2,575,192 1,287,596 643,798 321,899 965,698 482,849 1,448,548 724,274 362,137 1,086,412 543,206 271,603

More profiles

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