6,507,360

2⁵ × 3² × 5 × 4519

6,507,360 factors as 2^5 × 3^2 × 5 × 4519. Its 72 positive divisors give a proper-divisor sum of 15,703,920, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 4519

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 22,211,280

Proper Divisor Sum 15,703,920

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6507359 ← → #6507373

Radix Representation

Decimal	6507360
Binary	11000110100101101100000 (23 bits)
Octal	0o30645540
Hexadecimal	0x634B60

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1,440 4,519 9,038 13,557 18,076 22,595 27,114 36,152 40,671 45,190 54,228 67,785 72,304 81,342 90,380 108,456 135,570 144,608 162,684 180,760 203,355 216,912 271,140 325,368 361,520

Collatz Trajectory (116 steps to reach 1)

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

6,507,360 3,253,680 1,626,840 813,420 406,710 203,355 610,066 305,033 915,100 457,550 228,775 686,326 343,163 1,029,490 514,745 1,544,236 772,118 386,059 1,158,178 579,089 1,737,268 868,634 434,317 1,302,952 651,476 325,738 162,869 488,608 244,304 122,152 61,076 30,538 15,269 45,808 22,904 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884

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