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Atlas › Integer Profiles › Node 10,071,754

10,071,754

2 × 72 × 11 × 9343
Deficient Even Composite

10,071,754 factors as 2 × 7^2 × 11 × 9343. Its 24 positive divisors give a proper-divisor sum of 9,102,134, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 9343
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,173,888
Proper Divisor Sum 9,102,134
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #10071739 ← → #10071757

Radix Representation

Decimal 10071754
Binary 100110011010111011001010 (24 bits)
Octal 0o46327312
Hexadecimal 0x99AECA

Divisor Catalog (24)

1 2 7 11 14 22 49 77 98 154 539 1,078 9,343 18,686 65,401 102,773 130,802 205,546 457,807 719,411 915,614 1,438,822 5,035,877 10,071,754

Collatz Trajectory (158 steps to reach 1)

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

10,071,754 5,035,877 15,107,632 7,553,816 3,776,908 1,888,454 944,227 2,832,682 1,416,341 4,249,024 2,124,512 1,062,256 531,128 265,564 132,782 66,391 199,174 99,587 298,762 149,381 448,144 224,072 112,036 56,018 28,009 84,028 42,014 21,007 63,022 31,511 94,534 47,267 141,802 70,901 212,704 106,352 53,176 26,588 13,294 6,647 19,942 9,971 29,914 14,957 44,872 22,436 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651

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