λ
Harmonic Matrix

7,248,915

32 × 5 × 161087
Deficient Odd Composite

7,248,915 has digital root 9. The neighboring primes are 7248893 and 7248949; its proper-divisor sum differs from the starting integer by -1,932,966.

Prime Factor Structure

Factorization String 3^2 × 5 × 161087
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,564,864
Proper Divisor Sum 5,315,949
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7248893 ← → #7248949

Radix Representation

Decimal 7248915
Binary 11011101001110000010011 (23 bits)
Octal 0o33516023
Hexadecimal 0x6E9C13

Divisor Catalog (12)

1 3 5 9 15 45 161,087 483,261 805,435 1,449,783 2,416,305 7,248,915

Collatz Trajectory (160 steps to reach 1)

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

7,248,915 21,746,746 10,873,373 32,620,120 16,310,060 8,155,030 4,077,515 12,232,546 6,116,273 18,348,820 9,174,410 4,587,205 13,761,616 6,880,808 3,440,404 1,720,202 860,101 2,580,304 1,290,152 645,076 322,538 161,269 483,808 241,904 120,952 60,476 30,238 15,119 45,358 22,679 68,038 34,019 102,058 51,029 153,088 76,544 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215

More profiles

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