λ
Harmonic Matrix

7,345,501

7345501
Deficient Odd Prime

7,345,501 has digital root 7. The neighboring primes are 7345483 and 7345517; its proper-divisor sum differs from the starting integer by -7,345,500.

Prime Factor Structure

Factorization String 7345501
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,345,502
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7345483 ← → #7345517

Radix Representation

Decimal 7345501
Binary 11100000001010101011101 (23 bits)
Octal 0o34012535
Hexadecimal 0x70155D

Divisor Catalog (2)

Collatz Trajectory (67 steps to reach 1)

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

7,345,501 22,036,504 11,018,252 5,509,126 2,754,563 8,263,690 4,131,845 12,395,536 6,197,768 3,098,884 1,549,442 774,721 2,324,164 1,162,082 581,041 1,743,124 871,562 435,781 1,307,344 653,672 326,836 163,418 81,709 245,128 122,564 61,282 30,641 91,924 45,962 22,981 68,944 34,472 17,236 8,618 4,309 12,928 6,464 3,232 1,616 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

More profiles

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