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Atlas › Integer Profiles › Node 7,175,152

7,175,152

24 × 43 × 10429
Deficient Even Composite

7,175,152 factors as 2^4 × 43 × 10429. Its 20 positive divisors give a proper-divisor sum of 7,051,368, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^4 × 43 × 10429
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 14,226,520
Proper Divisor Sum 7,051,368
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7175117 ← → #7175153

Radix Representation

Decimal 7175152
Binary 11011010111101111110000 (23 bits)
Octal 0o33275760
Hexadecimal 0x6D7BF0

Divisor Catalog (20)

1 2 4 8 16 43 86 172 344 688 10,429 20,858 41,716 83,432 166,864 448,447 896,894 1,793,788 3,587,576 7,175,152

Collatz Trajectory (147 steps to reach 1)

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

7,175,152 3,587,576 1,793,788 896,894 448,447 1,345,342 672,671 2,018,014 1,009,007 3,027,022 1,513,511 4,540,534 2,270,267 6,810,802 3,405,401 10,216,204 5,108,102 2,554,051 7,662,154 3,831,077 11,493,232 5,746,616 2,873,308 1,436,654 718,327 2,154,982 1,077,491 3,232,474 1,616,237 4,848,712 2,424,356 1,212,178 606,089 1,818,268 909,134 454,567 1,363,702 681,851 2,045,554 1,022,777 3,068,332 1,534,166 767,083 2,301,250 1,150,625 3,451,876 1,725,938 862,969 2,588,908 1,294,454 647,227 1,941,682 970,841 2,912,524 1,456,262 728,131 2,184,394 1,092,197 3,276,592 1,638,296

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