6,424,136

2³ × 827 × 971

Starting at 6,424,136, the Collatz iteration reaches 1 after 72 steps. The first transition is 3212068; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 827 × 971

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,072,240

Proper Divisor Sum 5,648,104

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6424129 ← → #6424141

Radix Representation

Decimal	6424136
Binary	11000100000011001001000 (23 bits)
Octal	0o30403110
Hexadecimal	0x620648

Divisor Catalog (16)

1 2 4 8 827 971 1,654 1,942 3,308 3,884 6,616 7,768 803,017 1,606,034 3,212,068 6,424,136

Collatz Trajectory (72 steps to reach 1)

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

6,424,136 3,212,068 1,606,034 803,017 2,409,052 1,204,526 602,263 1,806,790 903,395 2,710,186 1,355,093 4,065,280 2,032,640 1,016,320 508,160 254,080 127,040 63,520 31,760 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34

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