7,438,012

2² × 59 × 31517

7,438,012 factors as 2^2 × 59 × 31517. Its 12 positive divisors give a proper-divisor sum of 5,799,548, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 59 × 31517

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,237,560

Proper Divisor Sum 5,799,548

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7438001 ← → #7438033

Radix Representation

Decimal	7438012
Binary	11100010111111010111100 (23 bits)
Octal	0o34277274
Hexadecimal	0x717EBC

Divisor Catalog (12)

1 2 4 59 118 236 31,517 63,034 126,068 1,859,503 3,719,006 7,438,012

Collatz Trajectory (173 steps to reach 1)

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

7,438,012 3,719,006 1,859,503 5,578,510 2,789,255 8,367,766 4,183,883 12,551,650 6,275,825 18,827,476 9,413,738 4,706,869 14,120,608 7,060,304 3,530,152 1,765,076 882,538 441,269 1,323,808 661,904 330,952 165,476 82,738 41,369 124,108 62,054 31,027 93,082 46,541 139,624 69,812 34,906 17,453 52,360 26,180 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220

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