1,507,971

3 × 29 × 17333

1,507,971 factors as 3 × 29 × 17333. Its 8 positive divisors give a proper-divisor sum of 572,109, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3 × 29 × 17333

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,080,080

Proper Divisor Sum 572,109

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1507921 ← → #1507993

Radix Representation

Decimal	1507971
Binary	101110000001010000011 (21 bits)
Octal	0o5601203
Hexadecimal	0x170283

Divisor Catalog (8)

1 3 29 87 17,333 51,999 502,657 1,507,971

Collatz Trajectory (88 steps to reach 1)

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

1,507,971 4,523,914 2,261,957 6,785,872 3,392,936 1,696,468 848,234 424,117 1,272,352 636,176 318,088 159,044 79,522 39,761 119,284 59,642 29,821 89,464 44,732 22,366 11,183 33,550 16,775 50,326 25,163 75,490 37,745 113,236 56,618 28,309 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266

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