1,272,025

5² × 17 × 41 × 73

For 1,272,025, the 24 positive divisors have a total of 1,734,264. Removing 1,272,025 leaves 462,239, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^2 × 17 × 41 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,734,264

Proper Divisor Sum 462,239

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1272001 ← → #1272043

Radix Representation

Decimal	1272025
Binary	100110110100011011001 (21 bits)
Octal	0o4664331
Hexadecimal	0x1368D9

Divisor Catalog (24)

1 5 17 25 41 73 85 205 365 425 697 1,025 1,241 1,825 2,993 3,485 6,205 14,965 17,425 31,025 50,881 74,825 254,405 1,272,025

Collatz Trajectory (124 steps to reach 1)

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

1,272,025 3,816,076 1,908,038 954,019 2,862,058 1,431,029 4,293,088 2,146,544 1,073,272 536,636 268,318 134,159 402,478 201,239 603,718 301,859 905,578 452,789 1,358,368 679,184 339,592 169,796 84,898 42,449 127,348 63,674 31,837 95,512 47,756 23,878 11,939 35,818 17,909 53,728 26,864 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080

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