7,681,940

2² × 5 × 7 × 37 × 1483

7,681,940 factors as 2^2 × 5 × 7 × 37 × 1483. Its 48 positive divisors give a proper-divisor sum of 11,265,772, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 37 × 1483

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,947,712

Proper Divisor Sum 11,265,772

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7681939 ← → #7681969

Radix Representation

Decimal	7681940
Binary	11101010011011110010100 (23 bits)
Octal	0o35233624
Hexadecimal	0x753794

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1,036 1,295 1,483 2,590 2,966 5,180 5,932 7,415 10,381 14,830 20,762 29,660 41,524 51,905 54,871 103,810 109,742 207,620 219,484 274,355 384,097 548,710 768,194 1,097,420 1,536,388 1,920,485 3,840,970 7,681,940

Collatz Trajectory (124 steps to reach 1)

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

7,681,940 3,840,970 1,920,485 5,761,456 2,880,728 1,440,364 720,182 360,091 1,080,274 540,137 1,620,412 810,206 405,103 1,215,310 607,655 1,822,966 911,483 2,734,450 1,367,225 4,101,676 2,050,838 1,025,419 3,076,258 1,538,129 4,614,388 2,307,194 1,153,597 3,460,792 1,730,396 865,198 432,599 1,297,798 648,899 1,946,698 973,349 2,920,048 1,460,024 730,012 365,006 182,503 547,510 273,755 821,266 410,633 1,231,900 615,950 307,975 923,926 461,963 1,385,890 692,945 2,078,836 1,039,418 519,709 1,559,128 779,564 389,782 194,891 584,674 292,337

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