8,484,734

2 × 17 × 61 × 4091

8,484,734 factors as 2 × 17 × 61 × 4091. Its 16 positive divisors give a proper-divisor sum of 5,215,282, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 17 × 61 × 4091

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,700,016

Proper Divisor Sum 5,215,282

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8484727 ← → #8484757

Radix Representation

Decimal	8484734
Binary	100000010111011101111110 (24 bits)
Octal	0o40273576
Hexadecimal	0x81777E

Divisor Catalog (16)

1 2 17 34 61 122 1,037 2,074 4,091 8,182 69,547 139,094 249,551 499,102 4,242,367 8,484,734

Collatz Trajectory (168 steps to reach 1)

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

8,484,734 4,242,367 12,727,102 6,363,551 19,090,654 9,545,327 28,635,982 14,317,991 42,953,974 21,476,987 64,430,962 32,215,481 96,646,444 48,323,222 24,161,611 72,484,834 36,242,417 108,727,252 54,363,626 27,181,813 81,545,440 40,772,720 20,386,360 10,193,180 5,096,590 2,548,295 7,644,886 3,822,443 11,467,330 5,733,665 17,200,996 8,600,498 4,300,249 12,900,748 6,450,374 3,225,187 9,675,562 4,837,781 14,513,344 7,256,672 3,628,336 1,814,168 907,084 453,542 226,771 680,314 340,157 1,020,472 510,236 255,118 127,559 382,678 191,339 574,018 287,009 861,028 430,514 215,257 645,772 322,886

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