10,072,225

5² × 101 × 3989

10,072,225 factors as 5^2 × 101 × 3989. Its 12 positive divisors give a proper-divisor sum of 2,544,155, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 5^2 × 101 × 3989

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,616,380

Proper Divisor Sum 2,544,155

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #10072207 ← → #10072247

Radix Representation

Decimal	10072225
Binary	100110011011000010100001 (24 bits)
Octal	0o46330241
Hexadecimal	0x99B0A1

Divisor Catalog (12)

1 5 25 101 505 2,525 3,989 19,945 99,725 402,889 2,014,445 10,072,225

Collatz Trajectory (114 steps to reach 1)

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

10,072,225 30,216,676 15,108,338 7,554,169 22,662,508 11,331,254 5,665,627 16,996,882 8,498,441 25,495,324 12,747,662 6,373,831 19,121,494 9,560,747 28,682,242 14,341,121 43,023,364 21,511,682 10,755,841 32,267,524 16,133,762 8,066,881 24,200,644 12,100,322 6,050,161 18,150,484 9,075,242 4,537,621 13,612,864 6,806,432 3,403,216 1,701,608 850,804 425,402 212,701 638,104 319,052 159,526 79,763 239,290 119,645 358,936 179,468 89,734 44,867 134,602 67,301 201,904 100,952 50,476 25,238 12,619 37,858 18,929 56,788 28,394 14,197 42,592 21,296 10,648

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