1,507,233

3 × 7 × 13 × 5521

1,507,233 factors as 3 × 7 × 13 × 5521. Its 16 positive divisors give a proper-divisor sum of 966,623, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 5521

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,473,856

Proper Divisor Sum 966,623

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1507229 ← → #1507291

Radix Representation

Decimal	1507233
Binary	101101111111110100001 (21 bits)
Octal	0o5577641
Hexadecimal	0x16FFA1

Divisor Catalog (16)

1 3 7 13 21 39 91 273 5,521 16,563 38,647 71,773 115,941 215,319 502,411 1,507,233

Collatz Trajectory (181 steps to reach 1)

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

1,507,233 4,521,700 2,260,850 1,130,425 3,391,276 1,695,638 847,819 2,543,458 1,271,729 3,815,188 1,907,594 953,797 2,861,392 1,430,696 715,348 357,674 178,837 536,512 268,256 134,128 67,064 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594

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