7,428,840

2³ × 3 × 5 × 31 × 1997

7,428,840 has digital root 6. The neighboring primes are 7428833 and 7428859; its proper-divisor sum differs from the starting integer by 8,159,280.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 31 × 1997

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 23,016,960

Proper Divisor Sum 15,588,120

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7428833 ← → #7428859

Radix Representation

Decimal	7428840
Binary	11100010101101011101000 (23 bits)
Octal	0o34255350
Hexadecimal	0x715AE8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1,240 1,860 1,997 3,720 3,994 5,991 7,988 9,985 11,982 15,976 19,970 23,964 29,955 39,940 47,928 59,910 61,907 79,880 119,820 123,814 185,721 239,640 247,628 309,535 371,442 495,256 619,070 742,884 928,605 1,238,140 1,485,768

Collatz Trajectory (80 steps to reach 1)

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

7,428,840 3,714,420 1,857,210 928,605 2,785,816 1,392,908 696,454 348,227 1,044,682 522,341 1,567,024 783,512 391,756 195,878 97,939 293,818 146,909 440,728 220,364 110,182 55,091 165,274 82,637 247,912 123,956 61,978 30,989 92,968 46,484 23,242 11,621 34,864 17,432 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37

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