9,248,001

3 × 7 × 23 × 41 × 467

For 9,248,001, the 32 positive divisors have a total of 15,095,808. Removing 9,248,001 leaves 5,847,807, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 23 × 41 × 467

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,095,808

Proper Divisor Sum 5,847,807

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #9247999 ← → #9248009

Radix Representation

Decimal	9248001
Binary	100011010001110100000001 (24 bits)
Octal	0o43216401
Hexadecimal	0x8D1D01

Divisor Catalog (32)

1 3 7 21 23 41 69 123 161 287 467 483 861 943 1,401 2,829 3,269 6,601 9,807 10,741 19,147 19,803 32,223 57,441 75,187 134,029 225,561 402,087 440,381 1,321,143 3,082,667 9,248,001

Collatz Trajectory (194 steps to reach 1)

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

9,248,001 27,744,004 13,872,002 6,936,001 20,808,004 10,404,002 5,202,001 15,606,004 7,803,002 3,901,501 11,704,504 5,852,252 2,926,126 1,463,063 4,389,190 2,194,595 6,583,786 3,291,893 9,875,680 4,937,840 2,468,920 1,234,460 617,230 308,615 925,846 462,923 1,388,770 694,385 2,083,156 1,041,578 520,789 1,562,368 781,184 390,592 195,296 97,648 48,824 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630

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