7,972,372

2² × 43 × 46351

7,972,372 factors as 2^2 × 43 × 46351. Its 12 positive divisors give a proper-divisor sum of 6,304,044, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^2 × 43 × 46351

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,276,416

Proper Divisor Sum 6,304,044

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7972357 ← → #7972373

Radix Representation

Decimal	7972372
Binary	11110011010011000010100 (23 bits)
Octal	0o36323024
Hexadecimal	0x79A614

Divisor Catalog (12)

1 2 4 43 86 172 46,351 92,702 185,404 1,993,093 3,986,186 7,972,372

Collatz Trajectory (93 steps to reach 1)

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

7,972,372 3,986,186 1,993,093 5,979,280 2,989,640 1,494,820 747,410 373,705 1,121,116 560,558 280,279 840,838 420,419 1,261,258 630,629 1,891,888 945,944 472,972 236,486 118,243 354,730 177,365 532,096 266,048 133,024 66,512 33,256 16,628 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 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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