9,012,072

2³ × 3 × 31 × 12113

9,012,072 has digital root 3. The neighboring primes are 9012071 and 9012077; its proper-divisor sum differs from the starting integer by 5,234,736.

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 12113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 23,258,880

Proper Divisor Sum 14,246,808

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #9012071 ← → #9012077

Radix Representation

Decimal	9012072
Binary	100010011000001101101000 (24 bits)
Octal	0o42301550
Hexadecimal	0x898368

Divisor Catalog (32)

1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 12,113 24,226 36,339 48,452 72,678 96,904 145,356 290,712 375,503 751,006 1,126,509 1,502,012 2,253,018 3,004,024 4,506,036 9,012,072

Collatz Trajectory (225 steps to reach 1)

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

9,012,072 4,506,036 2,253,018 1,126,509 3,379,528 1,689,764 844,882 422,441 1,267,324 633,662 316,831 950,494 475,247 1,425,742 712,871 2,138,614 1,069,307 3,207,922 1,603,961 4,811,884 2,405,942 1,202,971 3,608,914 1,804,457 5,413,372 2,706,686 1,353,343 4,060,030 2,030,015 6,090,046 3,045,023 9,135,070 4,567,535 13,702,606 6,851,303 20,553,910 10,276,955 30,830,866 15,415,433 46,246,300 23,123,150 11,561,575 34,684,726 17,342,363 52,027,090 26,013,545 78,040,636 39,020,318 19,510,159 58,530,478 29,265,239 87,795,718 43,897,859 131,693,578 65,846,789 197,540,368 98,770,184 49,385,092 24,692,546 12,346,273

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