4,672,072

2³ × 31 × 18839

For 4,672,072, the 16 positive divisors have a total of 9,043,200. Removing 4,672,072 leaves 4,371,128, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 31 × 18839

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,043,200

Proper Divisor Sum 4,371,128

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4672049 ← → #4672097

Radix Representation

Decimal	4672072
Binary	10001110100101001001000 (23 bits)
Octal	0o21645110
Hexadecimal	0x474A48

Divisor Catalog (16)

1 2 4 8 31 62 124 248 18,839 37,678 75,356 150,712 584,009 1,168,018 2,336,036 4,672,072

Collatz Trajectory (74 steps to reach 1)

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

4,672,072 2,336,036 1,168,018 584,009 1,752,028 876,014 438,007 1,314,022 657,011 1,971,034 985,517 2,956,552 1,478,276 739,138 369,569 1,108,708 554,354 277,177 831,532 415,766 207,883 623,650 311,825 935,476 467,738 233,869 701,608 350,804 175,402 87,701 263,104 131,552 65,776 32,888 16,444 8,222 4,111 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23

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