8,437,628

2² × 37 × 47 × 1213

8,437,628 factors as 2^2 × 37 × 47 × 1213. Its 24 positive divisors give a proper-divisor sum of 7,062,724, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 47 × 1213

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,500,352

Proper Divisor Sum 7,062,724

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8437621 ← → #8437631

Radix Representation

Decimal	8437628
Binary	100000001011111101111100 (24 bits)
Octal	0o40137574
Hexadecimal	0x80BF7C

Divisor Catalog (24)

1 2 4 37 47 74 94 148 188 1,213 1,739 2,426 3,478 4,852 6,956 44,881 57,011 89,762 114,022 179,524 228,044 2,109,407 4,218,814 8,437,628

Collatz Trajectory (168 steps to reach 1)

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

8,437,628 4,218,814 2,109,407 6,328,222 3,164,111 9,492,334 4,746,167 14,238,502 7,119,251 21,357,754 10,678,877 32,036,632 16,018,316 8,009,158 4,004,579 12,013,738 6,006,869 18,020,608 9,010,304 4,505,152 2,252,576 1,126,288 563,144 281,572 140,786 70,393 211,180 105,590 52,795 158,386 79,193 237,580 118,790 59,395 178,186 89,093 267,280 133,640 66,820 33,410 16,705 50,116 25,058 12,529 37,588 18,794 9,397 28,192 14,096 7,048 3,524 1,762 881 2,644 1,322 661 1,984 992 496 248

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