8,872,008

2³ × 3 × 37 × 97 × 103

8,872,008 is even and not a perfect square. Its factorization is 2^3 × 3 × 37 × 97 × 103 and its 64 divisors sum to 23,237,760.

Prime Factor Structure

Factorization String 2^3 × 3 × 37 × 97 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 23,237,760

Proper Divisor Sum 14,365,752

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8872001 ← → #8872009

Radix Representation

Decimal	8872008
Binary	100001110110000001001000 (24 bits)
Octal	0o41660110
Hexadecimal	0x876048

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 24 37 74 97 103 111 148 194 206 222 291 296 309 388 412 444 582 618 776 824 888 1,164 1,236 2,328 2,472 3,589 3,811 7,178 7,622 9,991 10,767 11,433 14,356 15,244 19,982 21,534 22,866 28,712 29,973 30,488 39,964 43,068 45,732 59,946 79,928 86,136 91,464 119,892 239,784 369,667 739,334 1,109,001 1,478,668

Collatz Trajectory (212 steps to reach 1)

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

8,872,008 4,436,004 2,218,002 1,109,001 3,327,004 1,663,502 831,751 2,495,254 1,247,627 3,742,882 1,871,441 5,614,324 2,807,162 1,403,581 4,210,744 2,105,372 1,052,686 526,343 1,579,030 789,515 2,368,546 1,184,273 3,552,820 1,776,410 888,205 2,664,616 1,332,308 666,154 333,077 999,232 499,616 249,808 124,904 62,452 31,226 15,613 46,840 23,420 11,710 5,855 17,566 8,783 26,350 13,175 39,526 19,763 59,290 29,645 88,936 44,468 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382

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