7,924,310

2 × 5 × 71 × 11161

Starting at 7,924,310, the Collatz iteration reaches 1 after 199 steps. The first transition is 3962155; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 71 × 11161

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,465,952

Proper Divisor Sum 6,541,642

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7924309 ← → #7924373

Radix Representation

Decimal	7924310
Binary	11110001110101001010110 (23 bits)
Octal	0o36165126
Hexadecimal	0x78EA56

Divisor Catalog (16)

1 2 5 10 71 142 355 710 11,161 22,322 55,805 111,610 792,431 1,584,862 3,962,155 7,924,310

Collatz Trajectory (199 steps to reach 1)

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

7,924,310 3,962,155 11,886,466 5,943,233 17,829,700 8,914,850 4,457,425 13,372,276 6,686,138 3,343,069 10,029,208 5,014,604 2,507,302 1,253,651 3,760,954 1,880,477 5,641,432 2,820,716 1,410,358 705,179 2,115,538 1,057,769 3,173,308 1,586,654 793,327 2,379,982 1,189,991 3,569,974 1,784,987 5,354,962 2,677,481 8,032,444 4,016,222 2,008,111 6,024,334 3,012,167 9,036,502 4,518,251 13,554,754 6,777,377 20,332,132 10,166,066 5,083,033 15,249,100 7,624,550 3,812,275 11,436,826 5,718,413 17,155,240 8,577,620 4,288,810 2,144,405 6,433,216 3,216,608 1,608,304 804,152 402,076 201,038 100,519 301,558

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