9,148,006

2 × 7² × 17³ × 19

9,148,006 has digital root 1. The neighboring primes are 9148003 and 9148019; its proper-divisor sum differs from the starting integer by -443,612.

Prime Factor Structure

Factorization String 2 × 7^2 × 17^3 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,852,400

Proper Divisor Sum 8,704,394

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9148003 ← → #9148019

Radix Representation

Decimal	9148006
Binary	100010111001011001100110 (24 bits)
Octal	0o42713146
Hexadecimal	0x8B9666

Divisor Catalog (48)

1 2 7 14 17 19 34 38 49 98 119 133 238 266 289 323 578 646 833 931 1,666 1,862 2,023 2,261 4,046 4,522 4,913 5,491 9,826 10,982 14,161 15,827 28,322 31,654 34,391 38,437 68,782 76,874 93,347 186,694 240,737 269,059 481,474 538,118 653,429 1,306,858 4,574,003 9,148,006

Collatz Trajectory (194 steps to reach 1)

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

9,148,006 4,574,003 13,722,010 6,861,005 20,583,016 10,291,508 5,145,754 2,572,877 7,718,632 3,859,316 1,929,658 964,829 2,894,488 1,447,244 723,622 361,811 1,085,434 542,717 1,628,152 814,076 407,038 203,519 610,558 305,279 915,838 457,919 1,373,758 686,879 2,060,638 1,030,319 3,090,958 1,545,479 4,636,438 2,318,219 6,954,658 3,477,329 10,431,988 5,215,994 2,607,997 7,823,992 3,911,996 1,955,998 977,999 2,933,998 1,466,999 4,400,998 2,200,499 6,601,498 3,300,749 9,902,248 4,951,124 2,475,562 1,237,781 3,713,344 1,856,672 928,336 464,168 232,084 116,042 58,021

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