5,178,890

2 × 5 × 37 × 13997

Starting at 5,178,890, the Collatz iteration reaches 1 after 188 steps. The first transition is 2589445; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 37 × 13997

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,574,632

Proper Divisor Sum 4,395,742

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5178889 ← → #5178893

Radix Representation

Decimal	5178890
Binary	10011110000011000001010 (23 bits)
Octal	0o23603012
Hexadecimal	0x4F060A

Divisor Catalog (16)

1 2 5 10 37 74 185 370 13,997 27,994 69,985 139,970 517,889 1,035,778 2,589,445 5,178,890

Collatz Trajectory (188 steps to reach 1)

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

5,178,890 2,589,445 7,768,336 3,884,168 1,942,084 971,042 485,521 1,456,564 728,282 364,141 1,092,424 546,212 273,106 136,553 409,660 204,830 102,415 307,246 153,623 460,870 230,435 691,306 345,653 1,036,960 518,480 259,240 129,620 64,810 32,405 97,216 48,608 24,304 12,152 6,076 3,038 1,519 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480

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