λ
Sequence Observatory

7,854,355

5 × 1570871
Deficient Odd Composite

Starting at 7,854,355, the Collatz iteration reaches 1 after 155 steps. The first transition is 23563066; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 1570871
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,425,232
Proper Divisor Sum 1,570,877
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7854317 ← → #7854359

Radix Representation

Decimal 7854355
Binary 11101111101100100010011 (23 bits)
Octal 0o35754423
Hexadecimal 0x77D913

Divisor Catalog (4)

1 5 1,570,871 7,854,355

Collatz Trajectory (155 steps to reach 1)

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

7,854,355 23,563,066 11,781,533 35,344,600 17,672,300 8,836,150 4,418,075 13,254,226 6,627,113 19,881,340 9,940,670 4,970,335 14,911,006 7,455,503 22,366,510 11,183,255 33,549,766 16,774,883 50,324,650 25,162,325 75,486,976 37,743,488 18,871,744 9,435,872 4,717,936 2,358,968 1,179,484 589,742 294,871 884,614 442,307 1,326,922 663,461 1,990,384 995,192 497,596 248,798 124,399 373,198 186,599 559,798 279,899 839,698 419,849 1,259,548 629,774 314,887 944,662 472,331 1,416,994 708,497 2,125,492 1,062,746 531,373 1,594,120 797,060 398,530 199,265 597,796 298,898

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