1,507,175

5² × 19² × 167

1,507,175 factors as 5^2 × 19^2 × 167. Its 18 positive divisors give a proper-divisor sum of 477,073, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 5^2 × 19^2 × 167

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,984,248

Proper Divisor Sum 477,073

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1507171 ← → #1507183

Radix Representation

Decimal	1507175
Binary	101101111111101100111 (21 bits)
Octal	0o5577547
Hexadecimal	0x16FF67

Divisor Catalog (18)

1 5 19 25 95 167 361 475 835 1,805 3,173 4,175 9,025 15,865 60,287 79,325 301,435 1,507,175

Collatz Trajectory (137 steps to reach 1)

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

1,507,175 4,521,526 2,260,763 6,782,290 3,391,145 10,173,436 5,086,718 2,543,359 7,630,078 3,815,039 11,445,118 5,722,559 17,167,678 8,583,839 25,751,518 12,875,759 38,627,278 19,313,639 57,940,918 28,970,459 86,911,378 43,455,689 130,367,068 65,183,534 32,591,767 97,775,302 48,887,651 146,662,954 73,331,477 219,994,432 109,997,216 54,998,608 27,499,304 13,749,652 6,874,826 3,437,413 10,312,240 5,156,120 2,578,060 1,289,030 644,515 1,933,546 966,773 2,900,320 1,450,160 725,080 362,540 181,270 90,635 271,906 135,953 407,860 203,930 101,965 305,896 152,948 76,474 38,237 114,712 57,356

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