7,288,624

2⁴ × 7 × 59 × 1103

7,288,624 has digital root 1. The neighboring primes are 7288607 and 7288637; its proper-divisor sum differs from the starting integer by 1,850,272.

Prime Factor Structure

Factorization String 2^4 × 7 × 59 × 1103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 16,427,520

Proper Divisor Sum 9,138,896

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7288607 ← → #7288637

Radix Representation

Decimal	7288624
Binary	11011110011011100110000 (23 bits)
Octal	0o33633460
Hexadecimal	0x6F3730

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1,103 1,652 2,206 3,304 4,412 6,608 7,721 8,824 15,442 17,648 30,884 61,768 65,077 123,536 130,154 260,308 455,539 520,616 911,078 1,041,232 1,822,156 3,644,312 7,288,624

Collatz Trajectory (59 steps to reach 1)

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

7,288,624 3,644,312 1,822,156 911,078 455,539 1,366,618 683,309 2,049,928 1,024,964 512,482 256,241 768,724 384,362 192,181 576,544 288,272 144,136 72,068 36,034 18,017 54,052 27,026 13,513 40,540 20,270 10,135 30,406 15,203 45,610 22,805 68,416 34,208 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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