6,473,480

2³ × 5 × 13 × 59 × 211

Starting at 6,473,480, the Collatz iteration reaches 1 after 209 steps. The first transition is 3236740; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 59 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 16,027,200

Proper Divisor Sum 9,553,720

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6473479 ← → #6473491

Radix Representation

Decimal	6473480
Binary	11000101100011100001000 (23 bits)
Octal	0o30543410
Hexadecimal	0x62C708

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 40 52 59 65 104 118 130 211 236 260 295 422 472 520 590 767 844 1,055 1,180 1,534 1,688 2,110 2,360 2,743 3,068 3,835 4,220 5,486 6,136 7,670 8,440 10,972 12,449 13,715 15,340 21,944 24,898 27,430 30,680 49,796 54,860 62,245 99,592 109,720 124,490 161,837 248,980 323,674 497,960 647,348 809,185

Collatz Trajectory (209 steps to reach 1)

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

6,473,480 3,236,740 1,618,370 809,185 2,427,556 1,213,778 606,889 1,820,668 910,334 455,167 1,365,502 682,751 2,048,254 1,024,127 3,072,382 1,536,191 4,608,574 2,304,287 6,912,862 3,456,431 10,369,294 5,184,647 15,553,942 7,776,971 23,330,914 11,665,457 34,996,372 17,498,186 8,749,093 26,247,280 13,123,640 6,561,820 3,280,910 1,640,455 4,921,366 2,460,683 7,382,050 3,691,025 11,073,076 5,536,538 2,768,269 8,304,808 4,152,404 2,076,202 1,038,101 3,114,304 1,557,152 778,576 389,288 194,644 97,322 48,661 145,984 72,992 36,496 18,248 9,124 4,562 2,281 6,844

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