7,502,942

2 × 137 × 139 × 197

7,502,942 factors as 2 × 137 × 139 × 197. Its 16 positive divisors give a proper-divisor sum of 3,973,138, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2 × 137 × 139 × 197

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,476,080

Proper Divisor Sum 3,973,138

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7502881 ← → #7502977

Radix Representation

Decimal	7502942
Binary	11100100111110001011110 (23 bits)
Octal	0o34476136
Hexadecimal	0x727C5E

Divisor Catalog (16)

1 2 137 139 197 274 278 394 19,043 26,989 27,383 38,086 53,978 54,766 3,751,471 7,502,942

Collatz Trajectory (186 steps to reach 1)

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

7,502,942 3,751,471 11,254,414 5,627,207 16,881,622 8,440,811 25,322,434 12,661,217 37,983,652 18,991,826 9,495,913 28,487,740 14,243,870 7,121,935 21,365,806 10,682,903 32,048,710 16,024,355 48,073,066 24,036,533 72,109,600 36,054,800 18,027,400 9,013,700 4,506,850 2,253,425 6,760,276 3,380,138 1,690,069 5,070,208 2,535,104 1,267,552 633,776 316,888 158,444 79,222 39,611 118,834 59,417 178,252 89,126 44,563 133,690 66,845 200,536 100,268 50,134 25,067 75,202 37,601 112,804 56,402 28,201 84,604 42,302 21,151 63,454 31,727 95,182 47,591

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