7,476,504

2³ × 3 × 7 × 191 × 233

Starting at 7,476,504, the Collatz iteration reaches 1 after 111 steps. The first transition is 3738252; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 191 × 233

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 21,565,440

Proper Divisor Sum 14,088,936

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7476499 ← → #7476527

Radix Representation

Decimal	7476504
Binary	11100100001010100011000 (23 bits)
Octal	0o34412430
Hexadecimal	0x721518

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 191 233 382 466 573 699 764 932 1,146 1,337 1,398 1,528 1,631 1,864 2,292 2,674 2,796 3,262 4,011 4,584 4,893 5,348 5,592 6,524 8,022 9,786 10,696 13,048 16,044 19,572 32,088 39,144 44,503 89,006 133,509 178,012 267,018 311,521 356,024 534,036 623,042 934,563 1,068,072 1,246,084

Collatz Trajectory (111 steps to reach 1)

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

7,476,504 3,738,252 1,869,126 934,563 2,803,690 1,401,845 4,205,536 2,102,768 1,051,384 525,692 262,846 131,423 394,270 197,135 591,406 295,703 887,110 443,555 1,330,666 665,333 1,996,000 998,000 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345 421,036 210,518 105,259 315,778 157,889 473,668 236,834 118,417 355,252 177,626 88,813 266,440 133,220 66,610 33,305 99,916 49,958 24,979 74,938 37,469 112,408 56,204 28,102 14,051 42,154 21,077 63,232 31,616 15,808 7,904

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