7,670,544

2⁴ × 3 × 7 × 37 × 617

7,670,544 factors as 2^4 × 3 × 7 × 37 × 617. Its 80 positive divisors give a proper-divisor sum of 15,625,584, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 37 × 617

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 23,296,128

Proper Divisor Sum 15,625,584

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7670543 ← → #7670561

Radix Representation

Decimal	7670544
Binary	11101010000101100010000 (23 bits)
Octal	0o35205420
Hexadecimal	0x750B10

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 617 777 888 1,036 1,234 1,554 1,776 1,851 2,072 2,468 3,108 3,702 4,144 4,319 4,936 6,216 7,404 8,638 9,872 12,432 12,957 14,808 17,276 22,829 25,914 29,616 34,552 45,658 51,828 68,487

Collatz Trajectory (142 steps to reach 1)

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

7,670,544 3,835,272 1,917,636 958,818 479,409 1,438,228 719,114 359,557 1,078,672 539,336 269,668 134,834 67,417 202,252 101,126 50,563 151,690 75,845 227,536 113,768 56,884 28,442 14,221 42,664 21,332 10,666 5,333 16,000 8,000 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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