λ
Prime Ledger

7,024,725

34 × 52 × 3469
Deficient Odd Composite

7,024,725 has the prime decomposition 3^4 × 5^2 × 3469. Its 3 distinct prime factors produce 30 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5^2 × 3469
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 13,015,970
Proper Divisor Sum 5,991,245
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7024691 ← → #7024727

Radix Representation

Decimal 7024725
Binary 11010110011000001010101 (23 bits)
Octal 0o32630125
Hexadecimal 0x6B3055

Divisor Catalog (30)

1 3 5 9 15 25 27 45 75 81 135 225 405 675 2,025 3,469 10,407 17,345 31,221 52,035 86,725 93,663 156,105 260,175 280,989 468,315 780,525 1,404,945 2,341,575 7,024,725

Collatz Trajectory (67 steps to reach 1)

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

7,024,725 21,074,176 10,537,088 5,268,544 2,634,272 1,317,136 658,568 329,284 164,642 82,321 246,964 123,482 61,741 185,224 92,612 46,306 23,153 69,460 34,730 17,365 52,096 26,048 13,024 6,512 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

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