7,077,878

2 × 37 × 101 × 947

Starting at 7,077,878, the Collatz iteration reaches 1 after 266 steps. The first transition is 3538939; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 37 × 101 × 947

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,023,344

Proper Divisor Sum 3,945,466

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7077877 ← → #7077883

Radix Representation

Decimal	7077878
Binary	11010111111111111110110 (23 bits)
Octal	0o32777766
Hexadecimal	0x6BFFF6

Divisor Catalog (16)

1 2 37 74 101 202 947 1,894 3,737 7,474 35,039 70,078 95,647 191,294 3,538,939 7,077,878

Collatz Trajectory (266 steps to reach 1)

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

7,077,878 3,538,939 10,616,818 5,308,409 15,925,228 7,962,614 3,981,307 11,943,922 5,971,961 17,915,884 8,957,942 4,478,971 13,436,914 6,718,457 20,155,372 10,077,686 5,038,843 15,116,530 7,558,265 22,674,796 11,337,398 5,668,699 17,006,098 8,503,049 25,509,148 12,754,574 6,377,287 19,131,862 9,565,931 28,697,794 14,348,897 43,046,692 21,523,346 10,761,673 32,285,020 16,142,510 8,071,255 24,213,766 12,106,883 36,320,650 18,160,325 54,480,976 27,240,488 13,620,244 6,810,122 3,405,061 10,215,184 5,107,592 2,553,796 1,276,898 638,449 1,915,348 957,674 478,837 1,436,512 718,256 359,128 179,564 89,782 44,891

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