λ
Prime Ledger

9,487,488

27 × 3 × 31 × 797
Abundant Even Composite

9,487,488 has the prime decomposition 2^7 × 3 × 31 × 797. Its 4 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3 × 31 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 26,046,720
Proper Divisor Sum 16,559,232
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9487483 ← → #9487501

Radix Representation

Decimal 9487488
Binary 100100001100010010000000 (24 bits)
Octal 0o44142200
Hexadecimal 0x90C480

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 797 992 1,488 1,594 1,984 2,391 2,976 3,188 3,968 4,782 5,952 6,376 9,564 11,904 12,752 19,128 24,707 25,504 38,256 49,414 51,008 74,121 76,512 98,828 102,016 148,242 153,024 197,656 296,484 306,048 395,312 592,968 790,624 1,185,936 1,581,248

Collatz Trajectory (106 steps to reach 1)

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

9,487,488 4,743,744 2,371,872 1,185,936 592,968 296,484 148,242 74,121 222,364 111,182 55,591 166,774 83,387 250,162 125,081 375,244 187,622 93,811 281,434 140,717 422,152 211,076 105,538 52,769 158,308 79,154 39,577 118,732 59,366 29,683 89,050 44,525 133,576 66,788 33,394 16,697 50,092 25,046 12,523 37,570 18,785 56,356 28,178 14,089 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190

More profiles

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