7,521,008

2⁴ × 11 × 151 × 283

For 7,521,008, the 40 positive divisors have a total of 16,058,496. Removing 7,521,008 leaves 8,537,488, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 11 × 151 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 16,058,496

Proper Divisor Sum 8,537,488

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7520993 ← → #7521013

Radix Representation

Decimal	7521008
Binary	11100101100001011110000 (23 bits)
Octal	0o34541360
Hexadecimal	0x72C2F0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 151 176 283 302 566 604 1,132 1,208 1,661 2,264 2,416 3,113 3,322 4,528 6,226 6,644 12,452 13,288 24,904 26,576 42,733 49,808 85,466 170,932 341,864 470,063 683,728 940,126 1,880,252 3,760,504 7,521,008

Collatz Trajectory (80 steps to reach 1)

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

7,521,008 3,760,504 1,880,252 940,126 470,063 1,410,190 705,095 2,115,286 1,057,643 3,172,930 1,586,465 4,759,396 2,379,698 1,189,849 3,569,548 1,784,774 892,387 2,677,162 1,338,581 4,015,744 2,007,872 1,003,936 501,968 250,984 125,492 62,746 31,373 94,120 47,060 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37

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