7,973,336

2³ × 7 × 142381

7,973,336 factors as 2^3 × 7 × 142381. Its 16 positive divisors give a proper-divisor sum of 9,112,504, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 142381

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,085,840

Proper Divisor Sum 9,112,504

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7973327 ← → #7973351

Radix Representation

Decimal	7973336
Binary	11110011010100111011000 (23 bits)
Octal	0o36324730
Hexadecimal	0x79A9D8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 142,381 284,762 569,524 996,667 1,139,048 1,993,334 3,986,668 7,973,336

Collatz Trajectory (93 steps to reach 1)

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

7,973,336 3,986,668 1,993,334 996,667 2,990,002 1,495,001 4,485,004 2,242,502 1,121,251 3,363,754 1,681,877 5,045,632 2,522,816 1,261,408 630,704 315,352 157,676 78,838 39,419 118,258 59,129 177,388 88,694 44,347 133,042 66,521 199,564 99,782 49,891 149,674 74,837 224,512 112,256 56,128 28,064 14,032 7,016 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236

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