7,774,385

5 × 1554877

Starting at 7,774,385, the Collatz iteration reaches 1 after 217 steps. The first transition is 23323156; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 1554877

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 9,329,268

Proper Divisor Sum 1,554,883

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7774381 ← → #7774399

Radix Representation

Decimal	7774385
Binary	11101101010000010110001 (23 bits)
Octal	0o35520261
Hexadecimal	0x76A0B1

Divisor Catalog (4)

1 5 1,554,877 7,774,385

Collatz Trajectory (217 steps to reach 1)

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

7,774,385 23,323,156 11,661,578 5,830,789 17,492,368 8,746,184 4,373,092 2,186,546 1,093,273 3,279,820 1,639,910 819,955 2,459,866 1,229,933 3,689,800 1,844,900 922,450 461,225 1,383,676 691,838 345,919 1,037,758 518,879 1,556,638 778,319 2,334,958 1,167,479 3,502,438 1,751,219 5,253,658 2,626,829 7,880,488 3,940,244 1,970,122 985,061 2,955,184 1,477,592 738,796 369,398 184,699 554,098 277,049 831,148 415,574 207,787 623,362 311,681 935,044 467,522 233,761 701,284 350,642 175,321 525,964 262,982 131,491 394,474 197,237 591,712 295,856

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