8,948,088

2³ × 3² × 19 × 31 × 211

8,948,088 has the prime decomposition 2^3 × 3^2 × 19 × 31 × 211. Its 5 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 19 × 31 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 26,457,600

Proper Divisor Sum 17,509,512

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8948087 ← → #8948099

Radix Representation

Decimal	8948088
Binary	100010001000100101111000 (24 bits)
Octal	0o42104570
Hexadecimal	0x888978

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 152 171 186 211 228 248 279 342 372 422 456 558 589 633 684 744 844 1,116 1,178 1,266 1,368 1,688 1,767 1,899 2,232 2,356 2,532 3,534 3,798 4,009 4,712 5,064 5,301 6,541 7,068 7,596 8,018 10,602 12,027

Collatz Trajectory (287 steps to reach 1)

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

8,948,088 4,474,044 2,237,022 1,118,511 3,355,534 1,677,767 5,033,302 2,516,651 7,549,954 3,774,977 11,324,932 5,662,466 2,831,233 8,493,700 4,246,850 2,123,425 6,370,276 3,185,138 1,592,569 4,777,708 2,388,854 1,194,427 3,583,282 1,791,641 5,374,924 2,687,462 1,343,731 4,031,194 2,015,597 6,046,792 3,023,396 1,511,698 755,849 2,267,548 1,133,774 566,887 1,700,662 850,331 2,550,994 1,275,497 3,826,492 1,913,246 956,623 2,869,870 1,434,935 4,304,806 2,152,403 6,457,210 3,228,605 9,685,816 4,842,908 2,421,454 1,210,727 3,632,182 1,816,091 5,448,274 2,724,137 8,172,412 4,086,206 2,043,103

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