λ
Harmonic Matrix

1,488,527

31 × 48017
Deficient Odd Composite

1,488,527 has digital root 8. The neighboring primes are 1488499 and 1488533; its proper-divisor sum differs from the starting integer by -1,440,478.

Prime Factor Structure

Factorization String 31 × 48017
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,536,576
Proper Divisor Sum 48,049
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1488499 ← → #1488533

Radix Representation

Decimal 1488527
Binary 101101011011010001111 (21 bits)
Octal 0o5533217
Hexadecimal 0x16B68F

Divisor Catalog (4)

1 31 48,017 1,488,527

Collatz Trajectory (137 steps to reach 1)

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

1,488,527 4,465,582 2,232,791 6,698,374 3,349,187 10,047,562 5,023,781 15,071,344 7,535,672 3,767,836 1,883,918 941,959 2,825,878 1,412,939 4,238,818 2,119,409 6,358,228 3,179,114 1,589,557 4,768,672 2,384,336 1,192,168 596,084 298,042 149,021 447,064 223,532 111,766 55,883 167,650 83,825 251,476 125,738 62,869 188,608 94,304 47,152 23,576 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263

More profiles

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