7,879,088

2⁴ × 7 × 103 × 683

Starting at 7,879,088, the Collatz iteration reaches 1 after 155 steps. The first transition is 3939544; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 103 × 683

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 17,641,728

Proper Divisor Sum 9,762,640

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #7879073 ← → #7879099

Radix Representation

Decimal	7879088
Binary	11110000011100110110000 (23 bits)
Octal	0o36034660
Hexadecimal	0x7839B0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 103 112 206 412 683 721 824 1,366 1,442 1,648 2,732 2,884 4,781 5,464 5,768 9,562 10,928 11,536 19,124 38,248 70,349 76,496 140,698 281,396 492,443 562,792 984,886 1,125,584 1,969,772 3,939,544 7,879,088

Collatz Trajectory (155 steps to reach 1)

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

7,879,088 3,939,544 1,969,772 984,886 492,443 1,477,330 738,665 2,215,996 1,107,998 553,999 1,661,998 830,999 2,492,998 1,246,499 3,739,498 1,869,749 5,609,248 2,804,624 1,402,312 701,156 350,578 175,289 525,868 262,934 131,467 394,402 197,201 591,604 295,802 147,901 443,704 221,852 110,926 55,463 166,390 83,195 249,586 124,793 374,380 187,190 93,595 280,786 140,393 421,180 210,590 105,295 315,886 157,943 473,830 236,915 710,746 355,373 1,066,120 533,060 266,530 133,265 399,796 199,898 99,949 299,848

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