7,920,884

2² × 1980221

Starting at 7,920,884, the Collatz iteration reaches 1 after 93 steps. The first transition is 3960442; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1980221

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 13,861,554

Proper Divisor Sum 5,940,670

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7920883 ← → #7920893

Radix Representation

Decimal	7920884
Binary	11110001101110011110100 (23 bits)
Octal	0o36156364
Hexadecimal	0x78DCF4

Divisor Catalog (6)

1 2 4 1,980,221 3,960,442 7,920,884

Collatz Trajectory (93 steps to reach 1)

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

7,920,884 3,960,442 1,980,221 5,940,664 2,970,332 1,485,166 742,583 2,227,750 1,113,875 3,341,626 1,670,813 5,012,440 2,506,220 1,253,110 626,555 1,879,666 939,833 2,819,500 1,409,750 704,875 2,114,626 1,057,313 3,171,940 1,585,970 792,985 2,378,956 1,189,478 594,739 1,784,218 892,109 2,676,328 1,338,164 669,082 334,541 1,003,624 501,812 250,906 125,453 376,360 188,180 94,090 47,045 141,136 70,568 35,284 17,642 8,821 26,464 13,232 6,616 3,308 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397

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