4,731,008

2⁷ × 23 × 1607

4,731,008 has digital root 5. The neighboring primes are 4730993 and 4731011; its proper-divisor sum differs from the starting integer by 378,944.

Prime Factor Structure

Factorization String 2^7 × 23 × 1607

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,840,960

Proper Divisor Sum 5,109,952

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4730993 ← → #4731011

Radix Representation

Decimal	4731008
Binary	10010000011000010000000 (23 bits)
Octal	0o22030200
Hexadecimal	0x483080

Divisor Catalog (32)

1 2 4 8 16 23 32 46 64 92 128 184 368 736 1,472 1,607 2,944 3,214 6,428 12,856 25,712 36,961 51,424 73,922 102,848 147,844 205,696 295,688 591,376 1,182,752 2,365,504 4,731,008

Collatz Trajectory (100 steps to reach 1)

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

4,731,008 2,365,504 1,182,752 591,376 295,688 147,844 73,922 36,961 110,884 55,442 27,721 83,164 41,582 20,791 62,374 31,187 93,562 46,781 140,344 70,172 35,086 17,543 52,630 26,315 78,946 39,473 118,420 59,210 29,605 88,816 44,408 22,204 11,102 5,551 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139

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