9,504,115

5 × 251 × 7573

9,504,115 factors as 5 × 251 × 7573. Its 8 positive divisors give a proper-divisor sum of 1,947,773, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 5 × 251 × 7573

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,451,888

Proper Divisor Sum 1,947,773

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #9504113 ← → #9504163

Radix Representation

Decimal	9504115
Binary	100100010000010101110011 (24 bits)
Octal	0o44202563
Hexadecimal	0x910573

Divisor Catalog (8)

1 5 251 1,255 7,573 37,865 1,900,823 9,504,115

Collatz Trajectory (101 steps to reach 1)

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

9,504,115 28,512,346 14,256,173 42,768,520 21,384,260 10,692,130 5,346,065 16,038,196 8,019,098 4,009,549 12,028,648 6,014,324 3,007,162 1,503,581 4,510,744 2,255,372 1,127,686 563,843 1,691,530 845,765 2,537,296 1,268,648 634,324 317,162 158,581 475,744 237,872 118,936 59,468 29,734 14,867 44,602 22,301 66,904 33,452 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676

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