4,965,360

2⁴ × 3 × 5 × 17 × 1217

Starting at 4,965,360, the Collatz iteration reaches 1 after 87 steps. The first transition is 2482680; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 17 × 1217

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 16,311,456

Proper Divisor Sum 11,346,096

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4965353 ← → #4965361

Radix Representation

Decimal	4965360
Binary	10010111100001111110000 (23 bits)
Octal	0o22741760
Hexadecimal	0x4BC3F0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1,020 1,217 1,360 2,040 2,434 3,651 4,080 4,868 6,085 7,302 9,736 12,170 14,604 18,255 19,472 20,689 24,340 29,208 36,510 41,378 48,680 58,416 62,067 73,020

Collatz Trajectory (87 steps to reach 1)

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

4,965,360 2,482,680 1,241,340 620,670 310,335 931,006 465,503 1,396,510 698,255 2,094,766 1,047,383 3,142,150 1,571,075 4,713,226 2,356,613 7,069,840 3,534,920 1,767,460 883,730 441,865 1,325,596 662,798 331,399 994,198 497,099 1,491,298 745,649 2,236,948 1,118,474 559,237 1,677,712 838,856 419,428 209,714 104,857 314,572 157,286 78,643 235,930 117,965 353,896 176,948 88,474 44,237 132,712 66,356 33,178 16,589 49,768 24,884 12,442 6,221 18,664 9,332 4,666 2,333 7,000 3,500 1,750 875

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