λ
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10,057,762

2 × 112 × 13 × 23 × 139
Deficient Even Composite

10,057,762 factors as 2 × 11^2 × 13 × 23 × 139. Its 48 positive divisors give a proper-divisor sum of 8,711,198, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 11^2 × 13 × 23 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,768,960
Proper Divisor Sum 8,711,198
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #10057759 ← → #10057763

Radix Representation

Decimal 10057762
Binary 100110010111100000100010 (24 bits)
Octal 0o46274042
Hexadecimal 0x997822

Divisor Catalog (48)

1 2 11 13 22 23 26 46 121 139 143 242 253 278 286 299 506 598 1,529 1,573 1,807 2,783 3,058 3,146 3,197 3,289 3,614 5,566 6,394 6,578 16,819 19,877 33,638 35,167 36,179 39,754 41,561 70,334 72,358 83,122 218,647 386,837 437,294 457,171 773,674 914,342 5,028,881 10,057,762

Collatz Trajectory (207 steps to reach 1)

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

10,057,762 5,028,881 15,086,644 7,543,322 3,771,661 11,314,984 5,657,492 2,828,746 1,414,373 4,243,120 2,121,560 1,060,780 530,390 265,195 795,586 397,793 1,193,380 596,690 298,345 895,036 447,518 223,759 671,278 335,639 1,006,918 503,459 1,510,378 755,189 2,265,568 1,132,784 566,392 283,196 141,598 70,799 212,398 106,199 318,598 159,299 477,898 238,949 716,848 358,424 179,212 89,606 44,803 134,410 67,205 201,616 100,808 50,404 25,202 12,601 37,804 18,902 9,451 28,354 14,177 42,532 21,266 10,633

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