λ
Match Zalai

9,974,632

23 × 1246829
Deficient Even Composite

9,974,632 factors as 2^3 × 1246829. Its 8 positive divisors give a proper-divisor sum of 8,727,818, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^3 × 1246829
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 18,702,450
Proper Divisor Sum 8,727,818
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9974611 ← → #9974651

Radix Representation

Decimal 9974632
Binary 100110000011001101101000 (24 bits)
Octal 0o46031550
Hexadecimal 0x983368

Divisor Catalog (8)

1 2 4 8 1,246,829 2,493,658 4,987,316 9,974,632

Collatz Trajectory (101 steps to reach 1)

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

9,974,632 4,987,316 2,493,658 1,246,829 3,740,488 1,870,244 935,122 467,561 1,402,684 701,342 350,671 1,052,014 526,007 1,578,022 789,011 2,367,034 1,183,517 3,550,552 1,775,276 887,638 443,819 1,331,458 665,729 1,997,188 998,594 499,297 1,497,892 748,946 374,473 1,123,420 561,710 280,855 842,566 421,283 1,263,850 631,925 1,895,776 947,888 473,944 236,972 118,486 59,243 177,730 88,865 266,596 133,298 66,649 199,948 99,974 49,987 149,962 74,981 224,944 112,472 56,236 28,118 14,059 42,178 21,089 63,268

More profiles

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