4,958,424

2³ × 3² × 17 × 4051

Starting at 4,958,424, the Collatz iteration reaches 1 after 144 steps. The first transition is 2479212; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 4051

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,222,520

Proper Divisor Sum 9,264,096

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4958423 ← → #4958467

Radix Representation

Decimal	4958424
Binary	10010111010100011011000 (23 bits)
Octal	0o22724330
Hexadecimal	0x4BA8D8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1,224 4,051 8,102 12,153 16,204 24,306 32,408 36,459 48,612 68,867 72,918 97,224 137,734 145,836 206,601 275,468 291,672 413,202 550,936 619,803 826,404 1,239,606 1,652,808 2,479,212 4,958,424

Collatz Trajectory (144 steps to reach 1)

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

4,958,424 2,479,212 1,239,606 619,803 1,859,410 929,705 2,789,116 1,394,558 697,279 2,091,838 1,045,919 3,137,758 1,568,879 4,706,638 2,353,319 7,059,958 3,529,979 10,589,938 5,294,969 15,884,908 7,942,454 3,971,227 11,913,682 5,956,841 17,870,524 8,935,262 4,467,631 13,402,894 6,701,447 20,104,342 10,052,171 30,156,514 15,078,257 45,234,772 22,617,386 11,308,693 33,926,080 16,963,040 8,481,520 4,240,760 2,120,380 1,060,190 530,095 1,590,286 795,143 2,385,430 1,192,715 3,578,146 1,789,073 5,367,220 2,683,610 1,341,805 4,025,416 2,012,708 1,006,354 503,177 1,509,532 754,766 377,383 1,132,150

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