5,290,985

5 × 7 × 151171

Starting at 5,290,985, the Collatz iteration reaches 1 after 175 steps. The first transition is 15872956; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 151171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,256,256

Proper Divisor Sum 1,965,271

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5290981 ← → #5290993

Radix Representation

Decimal	5290985
Binary	10100001011101111101001 (23 bits)
Octal	0o24135751
Hexadecimal	0x50BBE9

Divisor Catalog (8)

1 5 7 35 151,171 755,855 1,058,197 5,290,985

Collatz Trajectory (175 steps to reach 1)

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

5,290,985 15,872,956 7,936,478 3,968,239 11,904,718 5,952,359 17,857,078 8,928,539 26,785,618 13,392,809 40,178,428 20,089,214 10,044,607 30,133,822 15,066,911 45,200,734 22,600,367 67,801,102 33,900,551 101,701,654 50,850,827 152,552,482 76,276,241 228,828,724 114,414,362 57,207,181 171,621,544 85,810,772 42,905,386 21,452,693 64,358,080 32,179,040 16,089,520 8,044,760 4,022,380 2,011,190 1,005,595 3,016,786 1,508,393 4,525,180 2,262,590 1,131,295 3,393,886 1,696,943 5,090,830 2,545,415 7,636,246 3,818,123 11,454,370 5,727,185 17,181,556 8,590,778 4,295,389 12,886,168 6,443,084 3,221,542 1,610,771 4,832,314 2,416,157 7,248,472

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