6,530,528

2⁵ × 19 × 23 × 467

Starting at 6,530,528, the Collatz iteration reaches 1 after 178 steps. The first transition is 3265264; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 19 × 23 × 467

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,152,320

Proper Divisor Sum 7,621,792

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6530519 ← → #6530561

Radix Representation

Decimal	6530528
Binary	11000111010010111100000 (23 bits)
Octal	0o30722740
Hexadecimal	0x63A5E0

Divisor Catalog (48)

1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 467 608 736 874 934 1,748 1,868 3,496 3,736 6,992 7,472 8,873 10,741 13,984 14,944 17,746 21,482 35,492 42,964 70,984 85,928 141,968 171,856 204,079 283,936 343,712 408,158 816,316 1,632,632 3,265,264 6,530,528

Collatz Trajectory (178 steps to reach 1)

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

6,530,528 3,265,264 1,632,632 816,316 408,158 204,079 612,238 306,119 918,358 459,179 1,377,538 688,769 2,066,308 1,033,154 516,577 1,549,732 774,866 387,433 1,162,300 581,150 290,575 871,726 435,863 1,307,590 653,795 1,961,386 980,693 2,942,080 1,471,040 735,520 367,760 183,880 91,940 45,970 22,985 68,956 34,478 17,239 51,718 25,859 77,578 38,789 116,368 58,184 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905

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