1,510,464

2⁶ × 3 × 7867

For 1,510,464, the 28 positive divisors have a total of 3,996,944. Removing 1,510,464 leaves 2,486,480, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^6 × 3 × 7867

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 3,996,944

Proper Divisor Sum 2,486,480

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1510429 ← → #1510469

Radix Representation

Decimal	1510464
Binary	101110000110001000000 (21 bits)
Octal	0o5606100
Hexadecimal	0x170C40

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 7,867 15,734 23,601 31,468 47,202 62,936 94,404 125,872 188,808 251,744 377,616 503,488 755,232 1,510,464

Collatz Trajectory (57 steps to reach 1)

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

1,510,464 755,232 377,616 188,808 94,404 47,202 23,601 70,804 35,402 17,701 53,104 26,552 13,276 6,638 3,319 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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